Koszul A∞-algebras and free loop space homology
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Dokumenter
- KOSZUL A∞-ALGEBRAS AND FREE LOOP SPACE HOMOLOGY
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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.
Originalsprog | Engelsk |
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Tidsskrift | Proceedings of the Edinburgh Mathematical Society |
Vol/bind | 63 |
Udgave nummer | 1 |
Sider (fra-til) | 37-65 |
ISSN | 0013-0915 |
DOI | |
Status | Udgivet - 2020 |
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