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Koszul A-algebras and free loop space homology

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  • Alexander Berglund
  • Kaj Börjeson

We introduce a notion of Koszul A-algebra that generalizes Priddy's notion of a Koszul algebra and we use it to construct small A-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.

OriginalsprogEngelsk
TidsskriftProceedings of the Edinburgh Mathematical Society
Antal sider29
ISSN0013-0915
DOI
StatusE-pub ahead of print - 2020

ID: 226948961