Koszul A∞-algebras and free loop space homology
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- KOSZUL A∞-ALGEBRAS AND FREE LOOP SPACE HOMOLOGY
Submitted manuscript, 280 KB, PDF document
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.
Original language | English |
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Journal | Proceedings of the Edinburgh Mathematical Society |
Volume | 63 |
Issue number | 1 |
Pages (from-to) | 37-65 |
ISSN | 0013-0915 |
DOIs | |
Publication status | Published - 2020 |
- A algebras, Koszul duality, loop spaces
Research areas
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