Koszul A-infinity algebras and free loop space homology
Algebraic Topology
2017-11-20 v1 Quantum Algebra
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.
Keywords
Cite
@article{arxiv.1711.06496,
title = {Koszul A-infinity algebras and free loop space homology},
author = {Alexander Berglund and Kaj Börjeson},
journal= {arXiv preprint arXiv:1711.06496},
year = {2017}
}
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22 pages