Hochschild cohomology and moduli spaces of strongly homotopy associative algebras

• DOI: 10.4310/hha.2003.v5.n1.a5
• Publication Date: 2014-01-14T18:07:18Z
• Authors: A. Lazarev
• Keywords: Associative property

Motivated by ideas from stable homotopy theory we study the space of strongly associative multiplications on a two-cell chain complex.In simplest case this moduli is isomorphic to set orbits group invertible power series acting certain space.The Hochschild cohomology rings resulting A ∞ -algebras have an interpretation as totally ramified extensions discrete valuation rings.All are supposed be unital and give detailed analysis structures which independent interest.