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Koszul A(infinity)-algebras and free loop space homology
Stockholm University, Faculty of Science, Department of Mathematics.
Number of Authors: 22020 (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]

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.

Place, publisher, year, edition, pages
2020. Vol. 63, no 1, p. 37-65
Keywords [en]
Koszul duality, loop spaces, A(infinity) algebras
National Category
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-179578DOI: 10.1017/S0013091519000154ISI: 000509385500003OAI: oai:DiVA.org:su-179578DiVA, id: diva2:1416770
Available from: 2020-03-25 Created: 2020-03-25 Last updated: 2020-03-25Bibliographically approved

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