Homotopy derivations of the framed little discs operads
Abstract
We study the homotopy derivations of the framed little discs operads, which correspond to the homotopy derivations of the BV2n operads. By extending a result by Willwacher about the homotopy derivations of the en operads we show that the homotopy derivations of the BV2n operads may be described through the cohomology of a suitable graph complex. We will present an explicit quasi-isomorphic map.
- Publication:
-
arXiv e-prints
- Pub Date:
- June 2020
- DOI:
- 10.48550/arXiv.2006.10612
- arXiv:
- arXiv:2006.10612
- Bibcode:
- 2020arXiv200610612B
- Keywords:
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- Mathematics - Algebraic Topology;
- Mathematical Physics;
- 16E45;
- 53D55;
- 53C15;
- 18G55