Change search
ReferencesLink to record
Permanent link

Direct link
BV-algebras in topology and homotopy algebra
Stockholm University, Faculty of Science, Department of Mathematics.
2015 (English)Licentiate thesis, comprehensive summary (Other academic)
Abstract [en]

This Licentiate thesis consists of two papers. The first paper is called A-infinity-algebras derived from associative algebras with a non-derivation differential. The second paper is joint work with A. Berglund and is called Free loop space homology of highly connected manifolds. The first paper introduces a non-commutative variant of generalized BV-algebras. We prove the existence of an A-infinity-structure for any graded associative algebra equipped with a differential that is not necessarily a derivation. In a sense this structure measures the failure of the differential to be a derivation. The second paper is concerned with the homology of the free loop space of a manifold that is (n-1)-connected of dimension at most 3n-2. This is computed together with the Chas-Sullivan loop product and loop bracket. In characteristic zero we also determine the BV-operator. The methods used are Hochschild cohomology and the theory of Koszul algebras.

Place, publisher, year, edition, pages
Stockholm University, 2015.
Research Reports in Mathematics, ISSN 1401-5617
National Category
URN: urn:nbn:se:su:diva-114739OAI: diva2:793921
Available from: 2015-03-10 Created: 2015-03-09 Last updated: 2015-03-10Bibliographically approved

Open Access in DiVA

No full text

By organisation
Department of Mathematics

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Total: 114 hits
ReferencesLink to record
Permanent link

Direct link