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Koszul A∞-algebras and free loop space homology
Published online by Cambridge University Press: 18 July 2019
Abstract
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.
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- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 63 , Issue 1 , February 2020 , pp. 37 - 65
- Copyright
- Copyright © Edinburgh Mathematical Society 2019
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