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arXiv · 1711.06496

Koszul A-infinity algebras and free loop space homology

Alexander Berglund·Kaj Börjeson
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Abstract

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.

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Alexander Berglund, Kaj Börjeson. 2017-11-17. Koszul A-infinity algebras and free loop space homology. https://arxiv.org/abs/1711.06496

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