Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
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: Department of Mathematics, Stockholm University , 2015.
National Category
Mathematics
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-114739OAI: oai:DiVA.org:su-114739DiVA: diva2:793921
Supervisors
Available from: 2015-03-10 Created: 2015-03-09 Last updated: 2017-06-22Bibliographically approved

Open Access in DiVA

No full text

Search in DiVA

By author/editor
Börjeson, Kaj
By organisation
Department of Mathematics
Mathematics

Search outside of DiVA

GoogleGoogle Scholar

urn-nbn

Altmetric score

urn-nbn
Total: 137 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf