Homology, Homotopy and Applications
- Homology Homotopy Appl.
- Volume 5, Number 1 (2003), 73-100.
Hochschild cohomology and moduli spaces of strongly homotopy associative algebras
Motivated by ideas from stable homotopy theory we study the space of strongly homotopy associative multiplications on a two-cell chain complex. In the simplest case this moduli space is isomorphic to the set of orbits of a group of invertible power series acting on a certain space. The Hochschild cohomology rings of resulting $A_\infty$-algebras have an interpretation as totally ramified extensions of discrete valuation rings. All $A_\infty$-algebras are supposed to be unital and we give a detailed analysis of unital structures which is of independent interest.
Homology Homotopy Appl., Volume 5, Number 1 (2003), 73-100.
First available in Project Euclid: 13 February 2006
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Lazarev, A. Hochschild cohomology and moduli spaces of strongly homotopy associative algebras. Homology Homotopy Appl. 5 (2003), no. 1, 73--100. https://projecteuclid.org/euclid.hha/1139839928