Please wait ... |

Link to record
https://su.diva-portal.org/smash/person.jsf?pid=authority-person:89756 $(function(){PrimeFaces.cw("InputTextarea","widget_formSmash_upper_j_idt142_recordDirectLink",{id:"formSmash:upper:j_idt142:recordDirectLink",widgetVar:"widget_formSmash_upper_j_idt142_recordDirectLink",autoResize:true});}); $(function(){PrimeFaces.cw("OverlayPanel","widget_formSmash_upper_j_idt142_j_idt144",{id:"formSmash:upper:j_idt142:j_idt144",widgetVar:"widget_formSmash_upper_j_idt142_j_idt144",target:"formSmash:upper:j_idt142:permLink",showEffect:"blind",hideEffect:"fade",my:"right top",at:"right bottom",showCloseIcon:true});});

Permanent link

Direct link

Berglund, Alexander

Open this publication in new window or tab >>Characteristic classes for families of bundles### Berglund, Alexander

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt204_0_j_idt208_some",{id:"formSmash:j_idt204:0:j_idt208:some",widgetVar:"widget_formSmash_j_idt204_0_j_idt208_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt204_0_j_idt208_otherAuthors",{id:"formSmash:j_idt204:0:j_idt208:otherAuthors",widgetVar:"widget_formSmash_j_idt204_0_j_idt208_otherAuthors",multiple:true}); 2022 (English)In: Selecta Mathematica, New Series, ISSN 1022-1824, E-ISSN 1420-9020, Vol. 28, no 3, article id 51Article in journal (Refereed) Published
##### Abstract [en]

##### National Category

Mathematics
##### Identifiers

urn:nbn:se:su:diva-203571 (URN)10.1007/s00029-022-00764-4 (DOI)000772079100001 ()2-s2.0-85126753854 (Scopus ID)
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt204_0_j_idt208_j_idt379",{id:"formSmash:j_idt204:0:j_idt208:j_idt379",widgetVar:"widget_formSmash_j_idt204_0_j_idt208_j_idt379",multiple:true});
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt204_0_j_idt208_j_idt385",{id:"formSmash:j_idt204:0:j_idt208:j_idt385",widgetVar:"widget_formSmash_j_idt204_0_j_idt208_j_idt385",multiple:true});
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt204_0_j_idt208_j_idt391",{id:"formSmash:j_idt204:0:j_idt208:j_idt391",widgetVar:"widget_formSmash_j_idt204_0_j_idt208_j_idt391",multiple:true});
#####

Available from: 2022-04-04 Created: 2022-04-04 Last updated: 2022-04-04Bibliographically approved

Stockholm University, Faculty of Science, Department of Mathematics.

The generalized Miller–Morita–Mumford classes of a manifold bundle with fiber *M* depend only on the underlying *τM-fibration*, meaning the family of vector bundles formed by the tangent bundles of the fibers. This motivates a closer study of the classifying space for *τM*-fibrations, *Baut(τM)*, and its cohomology ring, i.e., the ring of characteristic classes of *τM*-fibrations. For a bundle *ξ* over a simply connected Poincaré duality space, we construct a relative Sullivan model for the universal *ξ*-fibration with holonomy in a given connected monoid, together with explicit cocycle representatives for the characteristic classes of the canonical bundle over its total space. This yields tools for computing the rational cohomology ring of *Baut(ξ)* as well as the subring generated by the generalized Miller–Morita–Mumford classes. To illustrate, we carry out sample computations for spheres and complex projective spaces. We discuss applications to tautological rings of simply connected manifolds and to the problem of deciding whether a given *τM*-fibration comes from a manifold bundle.

Open this publication in new window or tab >>A dg Lie model for relative homotopy automorphisms### Berglund, Alexander

### Saleh, Bashar

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt204_1_j_idt208_some",{id:"formSmash:j_idt204:1:j_idt208:some",widgetVar:"widget_formSmash_j_idt204_1_j_idt208_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt204_1_j_idt208_otherAuthors",{id:"formSmash:j_idt204:1:j_idt208:otherAuthors",widgetVar:"widget_formSmash_j_idt204_1_j_idt208_otherAuthors",multiple:true}); 2020 (English)In: Homology, Homotopy and Applications, ISSN 1532-0073, E-ISSN 1532-0081, Vol. 22, no 2, p. 105-121Article in journal (Refereed) Published
##### Abstract [en]

##### Keywords

homotopy automorphism, rational homotopy theory, Lie models
##### National Category

Geometry
##### Research subject

Mathematics
##### Identifiers

urn:nbn:se:su:diva-160834 (URN)10.4310/HHA.2020.v22.n2.a6 (DOI)000593076800006 ()
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt204_1_j_idt208_j_idt379",{id:"formSmash:j_idt204:1:j_idt208:j_idt379",widgetVar:"widget_formSmash_j_idt204_1_j_idt208_j_idt379",multiple:true});
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt204_1_j_idt208_j_idt385",{id:"formSmash:j_idt204:1:j_idt208:j_idt385",widgetVar:"widget_formSmash_j_idt204_1_j_idt208_j_idt385",multiple:true});
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt204_1_j_idt208_j_idt391",{id:"formSmash:j_idt204:1:j_idt208:j_idt391",widgetVar:"widget_formSmash_j_idt204_1_j_idt208_j_idt391",multiple:true});
#####

Available from: 2018-10-08 Created: 2018-10-08 Last updated: 2023-07-06Bibliographically approved

Stockholm University, Faculty of Science, Department of Mathematics.

Stockholm University, Faculty of Science, Department of Mathematics.

We construct a dg" role="presentation" style="display: inline; line-height: normal; font-size: 17.3333px; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; color: rgb(64, 64, 64); font-family: "Times New Roman", Times, serif; position: relative;">dgdg Lie algebra model for the universal cover of the classifying space of the grouplike monoid of homotopy automorphisms of a space that fix a given subspace. We derive the model from a known model for based homotopy automorphisms together with general result on rational models for geometric bar constructions.

Open this publication in new window or tab >>Koszul A(infinity)-algebras and free loop space homology### Berglund, Alexander

### Börjeson, Kaj

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt204_2_j_idt208_some",{id:"formSmash:j_idt204:2:j_idt208:some",widgetVar:"widget_formSmash_j_idt204_2_j_idt208_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt204_2_j_idt208_otherAuthors",{id:"formSmash:j_idt204:2:j_idt208:otherAuthors",widgetVar:"widget_formSmash_j_idt204_2_j_idt208_otherAuthors",multiple:true}); 2020 (English)In: Proceedings of the Edinburgh Mathematical Society, ISSN 0013-0915, E-ISSN 1464-3839, Vol. 63, no 1, p. 37-65Article in journal (Refereed) Published
##### Abstract [en]

##### Keywords

Koszul duality, loop spaces, A(infinity) algebras
##### National Category

Mathematics
##### Identifiers

urn:nbn:se:su:diva-179578 (URN)10.1017/S0013091519000154 (DOI)000509385500003 ()
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt204_2_j_idt208_j_idt379",{id:"formSmash:j_idt204:2:j_idt208:j_idt379",widgetVar:"widget_formSmash_j_idt204_2_j_idt208_j_idt379",multiple:true});
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt204_2_j_idt208_j_idt385",{id:"formSmash:j_idt204:2:j_idt208:j_idt385",widgetVar:"widget_formSmash_j_idt204_2_j_idt208_j_idt385",multiple:true});
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt204_2_j_idt208_j_idt391",{id:"formSmash:j_idt204:2:j_idt208:j_idt391",widgetVar:"widget_formSmash_j_idt204_2_j_idt208_j_idt391",multiple:true});
#####

Available from: 2020-03-25 Created: 2020-03-25 Last updated: 2022-02-26Bibliographically approved

Stockholm University, Faculty of Science, Department of Mathematics.

We introduce a notion of Koszul A(infinity)-algebra that generalizes Priddy's notion of a Koszul algebra and we use it to construct small A(infinity)-algebra models for Hochschild cochains. As an application, this yields new techniques for computing free loop space homology algebras of manifolds that are either formal or coformal (over a field or over the integers). We illustrate these techniques in two examples.

Open this publication in new window or tab >>Rational homotopy theory of automorphisms of manifolds### Berglund, Alexander

### Madsen, Ib

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt204_3_j_idt208_some",{id:"formSmash:j_idt204:3:j_idt208:some",widgetVar:"widget_formSmash_j_idt204_3_j_idt208_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt204_3_j_idt208_otherAuthors",{id:"formSmash:j_idt204:3:j_idt208:otherAuthors",widgetVar:"widget_formSmash_j_idt204_3_j_idt208_otherAuthors",multiple:true}); 2020 (English)In: Acta Mathematica, ISSN 0001-5962, E-ISSN 1871-2509, Vol. 224, no 1, p. 67-185Article in journal (Refereed) Published
##### National Category

Mathematics
##### Identifiers

urn:nbn:se:su:diva-181387 (URN)10.4310/ACTA.2020.v224.n1.a2 (DOI)000522703700002 ()
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt204_3_j_idt208_j_idt379",{id:"formSmash:j_idt204:3:j_idt208:j_idt379",widgetVar:"widget_formSmash_j_idt204_3_j_idt208_j_idt379",multiple:true});
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt204_3_j_idt208_j_idt385",{id:"formSmash:j_idt204:3:j_idt208:j_idt385",widgetVar:"widget_formSmash_j_idt204_3_j_idt208_j_idt385",multiple:true});
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt204_3_j_idt208_j_idt391",{id:"formSmash:j_idt204:3:j_idt208:j_idt391",widgetVar:"widget_formSmash_j_idt204_3_j_idt208_j_idt391",multiple:true});
#####

Available from: 2020-05-06 Created: 2020-05-06 Last updated: 2022-02-26Bibliographically approved

Stockholm University, Faculty of Science, Department of Mathematics.

Open this publication in new window or tab >>Rational Models for Automorphisms of Fiber Bundles### Berglund, Alexander

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt204_4_j_idt208_some",{id:"formSmash:j_idt204:4:j_idt208:some",widgetVar:"widget_formSmash_j_idt204_4_j_idt208_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt204_4_j_idt208_otherAuthors",{id:"formSmash:j_idt204:4:j_idt208:otherAuthors",widgetVar:"widget_formSmash_j_idt204_4_j_idt208_otherAuthors",multiple:true}); 2020 (English)In: Documenta Mathematica, ISSN 1431-0635, E-ISSN 1431-0643, Vol. 25, p. 239-265Article in journal (Refereed) Published
##### Abstract [en]

##### Keywords

Fiber bundle, classifying space, rationalization, dg Lie algebra, dg coalgebra
##### National Category

Mathematics
##### Identifiers

urn:nbn:se:su:diva-189277 (URN)10.25537/dm.2020v25.239-265 (DOI)000592702600009 ()
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt204_4_j_idt208_j_idt379",{id:"formSmash:j_idt204:4:j_idt208:j_idt379",widgetVar:"widget_formSmash_j_idt204_4_j_idt208_j_idt379",multiple:true});
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt204_4_j_idt208_j_idt385",{id:"formSmash:j_idt204:4:j_idt208:j_idt385",widgetVar:"widget_formSmash_j_idt204_4_j_idt208_j_idt385",multiple:true});
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt204_4_j_idt208_j_idt391",{id:"formSmash:j_idt204:4:j_idt208:j_idt391",widgetVar:"widget_formSmash_j_idt204_4_j_idt208_j_idt391",multiple:true});
#####

Available from: 2021-01-19 Created: 2021-01-19 Last updated: 2023-08-18Bibliographically approved

Stockholm University, Faculty of Science, Department of Mathematics.

Given a fiber bundle, we construct a differential graded Lie algebra model, in the sense of Quillen's rational homotopy theory, for the classifying space of the monoid of homotopy equivalences of the base covered by a fiberwise isomorphism of the total space.

Open this publication in new window or tab >>Hirzebruch L-polynomials and multiple zeta values### Berglund, Alexander

### Bergström, Jonas

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt204_5_j_idt208_some",{id:"formSmash:j_idt204:5:j_idt208:some",widgetVar:"widget_formSmash_j_idt204_5_j_idt208_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt204_5_j_idt208_otherAuthors",{id:"formSmash:j_idt204:5:j_idt208:otherAuthors",widgetVar:"widget_formSmash_j_idt204_5_j_idt208_otherAuthors",multiple:true}); 2018 (English)In: Mathematische Annalen, ISSN 0025-5831, E-ISSN 1432-1807, Vol. 372, no 1-2, p. 125-137Article in journal (Refereed) Published
##### Abstract [en]

##### National Category

Geometry
##### Identifiers

urn:nbn:se:su:diva-162180 (URN)10.1007/s00208-018-1647-2 (DOI)000445199600004 ()
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt204_5_j_idt208_j_idt379",{id:"formSmash:j_idt204:5:j_idt208:j_idt379",widgetVar:"widget_formSmash_j_idt204_5_j_idt208_j_idt379",multiple:true});
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt204_5_j_idt208_j_idt385",{id:"formSmash:j_idt204:5:j_idt208:j_idt385",widgetVar:"widget_formSmash_j_idt204_5_j_idt208_j_idt385",multiple:true});
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt204_5_j_idt208_j_idt391",{id:"formSmash:j_idt204:5:j_idt208:j_idt391",widgetVar:"widget_formSmash_j_idt204_5_j_idt208_j_idt391",multiple:true});
#####

Available from: 2018-11-15 Created: 2018-11-15 Last updated: 2022-03-23Bibliographically approved

Stockholm University, Faculty of Science, Department of Mathematics.

Stockholm University, Faculty of Science, Department of Mathematics.

We express the coefficients of the Hirzebruch L-polynomials in terms of certain alternating multiple zeta values. In particular, we show that every monomial in the Pontryagin classes appears with a non-zero coefficient, with the expected sign. Similar results hold for the polynomials associated to the Â-genus.

Open this publication in new window or tab >>Homotopic Hopf-Galois extensions revisited### Berglund, Alexander

### Hess, Kathryn

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt204_6_j_idt208_some",{id:"formSmash:j_idt204:6:j_idt208:some",widgetVar:"widget_formSmash_j_idt204_6_j_idt208_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt204_6_j_idt208_otherAuthors",{id:"formSmash:j_idt204:6:j_idt208:otherAuthors",widgetVar:"widget_formSmash_j_idt204_6_j_idt208_otherAuthors",multiple:true}); 2018 (English)In: Journal of Noncommutative Geometry, ISSN 1661-6952, E-ISSN 1661-6960, Vol. 12, no 1, p. 107-155Article in journal (Refereed) Published
##### Abstract [en]

##### Keywords

Hopf-Galois extension, descent, Morita theory, model category
##### National Category

Mathematics
##### Identifiers

urn:nbn:se:su:diva-156030 (URN)10.4171/JNCG/272 (DOI)000428804300004 ()
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt204_6_j_idt208_j_idt379",{id:"formSmash:j_idt204:6:j_idt208:j_idt379",widgetVar:"widget_formSmash_j_idt204_6_j_idt208_j_idt379",multiple:true});
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt204_6_j_idt208_j_idt385",{id:"formSmash:j_idt204:6:j_idt208:j_idt385",widgetVar:"widget_formSmash_j_idt204_6_j_idt208_j_idt385",multiple:true});
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt204_6_j_idt208_j_idt391",{id:"formSmash:j_idt204:6:j_idt208:j_idt391",widgetVar:"widget_formSmash_j_idt204_6_j_idt208_j_idt391",multiple:true});
#####

Available from: 2018-05-04 Created: 2018-05-04 Last updated: 2022-02-26Bibliographically approved

Stockholm University, Faculty of Science, Department of Mathematics.

In this article we revisit the theory of homotopic Hopf-Galois extensions introduced in [9], in light of the homotopical Morita theory of comodules established in [3]. We generalize the theory to a relative framework, which we believe is new even in the classical context and which is essential for treating the Hopf-Galois correspondence in [19]. We study in detail homotopic Hopf-Galois extensions of differential graded algebras over a commutative ring, for which we establish a descent-type characterization analogous to the one Rognes provided in the context of ring spectra [26]. An interesting feature in the differential graded setting is the close relationship between homotopic Hopf-Galois theory and Koszul duality theory. We show that nice enough principal fibrations of simplicial sets give rise to homotopic Hopf-Galois extensions in the differential graded setting, for which this Koszul duality has a familiar form.

Open this publication in new window or tab >>Homotopical Morita theory for corings### Berglund, Alexander

### Hess, Kathryn

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt204_7_j_idt208_some",{id:"formSmash:j_idt204:7:j_idt208:some",widgetVar:"widget_formSmash_j_idt204_7_j_idt208_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt204_7_j_idt208_otherAuthors",{id:"formSmash:j_idt204:7:j_idt208:otherAuthors",widgetVar:"widget_formSmash_j_idt204_7_j_idt208_otherAuthors",multiple:true}); 2018 (English)In: Israel Journal of Mathematics, ISSN 0021-2172, E-ISSN 1565-8511, Vol. 227, no 1, p. 239-287Article in journal (Refereed) Published
##### Abstract [en]

##### National Category

Mathematics
##### Identifiers

urn:nbn:se:su:diva-160147 (URN)10.1007/s11856-018-1727-8 (DOI)000442512900010 ()
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt204_7_j_idt208_j_idt379",{id:"formSmash:j_idt204:7:j_idt208:j_idt379",widgetVar:"widget_formSmash_j_idt204_7_j_idt208_j_idt379",multiple:true});
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt204_7_j_idt208_j_idt385",{id:"formSmash:j_idt204:7:j_idt208:j_idt385",widgetVar:"widget_formSmash_j_idt204_7_j_idt208_j_idt385",multiple:true});
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt204_7_j_idt208_j_idt391",{id:"formSmash:j_idt204:7:j_idt208:j_idt391",widgetVar:"widget_formSmash_j_idt204_7_j_idt208_j_idt391",multiple:true});
#####

Available from: 2018-09-17 Created: 2018-09-17 Last updated: 2022-02-26Bibliographically approved

Stockholm University, Faculty of Science, Department of Mathematics.

A coring (A,C) consists of an algebra A in a symmetric monoidal category and a coalgebra C in the monoidal category of A-bimodules. Corings and their comodules arise naturally in the study of Hopf-Galois extensions and descent theory, as well as in the study of Hopf algebroids. In this paper, we address the question of when two corings (A,C) and (B,D) in a symmetric monoidal model category V are homotopically Morita equivalent, i.e., when their respective categories of comodules V (C)(A) and V (D)(B) are Quillen equivalent. As an illustration of the general theory, we examine homotopical Morita theory for corings in the category of chain complexes over a commutative ring.

Open this publication in new window or tab >>Free loop space homology of highly connected manifolds### Berglund, Alexander

### Börjeson, Kaj

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt204_8_j_idt208_some",{id:"formSmash:j_idt204:8:j_idt208:some",widgetVar:"widget_formSmash_j_idt204_8_j_idt208_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt204_8_j_idt208_otherAuthors",{id:"formSmash:j_idt204:8:j_idt208:otherAuthors",widgetVar:"widget_formSmash_j_idt204_8_j_idt208_otherAuthors",multiple:true}); 2017 (English)In: Forum mathematicum, ISSN 0933-7741, E-ISSN 1435-5337, Vol. 29, no 1, p. 201-228Article in journal (Refereed) Published
##### Abstract [en]

##### Keywords

Free loop spaces, Koszul algebras, String topology, BV-algebras, Hochschild cohomology
##### National Category

Geometry
##### Research subject

Mathematics
##### Identifiers

urn:nbn:se:su:diva-138911 (URN)10.1515/forum-2015-0074 (DOI)000391192600010 ()
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt204_8_j_idt208_j_idt379",{id:"formSmash:j_idt204:8:j_idt208:j_idt379",widgetVar:"widget_formSmash_j_idt204_8_j_idt208_j_idt379",multiple:true});
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt204_8_j_idt208_j_idt385",{id:"formSmash:j_idt204:8:j_idt208:j_idt385",widgetVar:"widget_formSmash_j_idt204_8_j_idt208_j_idt385",multiple:true});
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt204_8_j_idt208_j_idt391",{id:"formSmash:j_idt204:8:j_idt208:j_idt391",widgetVar:"widget_formSmash_j_idt204_8_j_idt208_j_idt391",multiple:true});
#####

Available from: 2017-01-30 Created: 2017-01-30 Last updated: 2022-02-28Bibliographically approved

Stockholm University, Faculty of Science, Department of Mathematics.

Stockholm University, Faculty of Science, Department of Mathematics.

We calculate the homology of the free loop space of (n - 1)-connected closed manifolds of dimension at most 3 n - 2 (n >= 2), with the Chas-Sullivan loop product and loop bracket. Over a field of characteristic zero, we obtain an expression for the BV-operator. We also give explicit formulas for the Betti numbers, showing they grow exponentially. Our main tool is the connection between formality, coformality and Koszul algebras that was elucidated by the first author [6].

Open this publication in new window or tab >>Rational homotopy theory of mapping spaces via Lie theory for L-infinity algebras### Berglund, Alexander

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt204_9_j_idt208_some",{id:"formSmash:j_idt204:9:j_idt208:some",widgetVar:"widget_formSmash_j_idt204_9_j_idt208_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt204_9_j_idt208_otherAuthors",{id:"formSmash:j_idt204:9:j_idt208:otherAuthors",widgetVar:"widget_formSmash_j_idt204_9_j_idt208_otherAuthors",multiple:true}); 2015 (English)In: Homology, Homotopy and Applications, ISSN 1532-0073, E-ISSN 1532-0081, Vol. 17, no 2, p. 343-369Article in journal (Refereed) Published
##### Abstract [en]

##### Keywords

L-infinity algebra, Deligne groupoid, rational homotopy theory, mapping space
##### National Category

Geometry
##### Research subject

Mathematics
##### Identifiers

urn:nbn:se:su:diva-111898 (URN)10.4310/HHA.2015.v17.n2.a16 (DOI)000365660600016 ()
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt204_9_j_idt208_j_idt379",{id:"formSmash:j_idt204:9:j_idt208:j_idt379",widgetVar:"widget_formSmash_j_idt204_9_j_idt208_j_idt379",multiple:true});
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt204_9_j_idt208_j_idt385",{id:"formSmash:j_idt204:9:j_idt208:j_idt385",widgetVar:"widget_formSmash_j_idt204_9_j_idt208_j_idt385",multiple:true});
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt204_9_j_idt208_j_idt391",{id:"formSmash:j_idt204:9:j_idt208:j_idt391",widgetVar:"widget_formSmash_j_idt204_9_j_idt208_j_idt391",multiple:true});
#####

Available from: 2015-01-08 Created: 2015-01-08 Last updated: 2023-07-06Bibliographically approved

Stockholm University, Faculty of Science, Department of Mathematics.

We calculate the higher homotopy groups of the Deligne–Getzler ∞-groupoid associated to a nilpotent L∞-algebra. As an application, we present a new approach to the rational homotopy theory of mapping spaces.