Hochschild cohomology and moduli spaces of strongly homotopy associative algebras

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dc.creatorLazarev, Andrey
dc.date2002-04-04
dc.date2003-05-03
dc.date.accessioned2026-07-07T04:47:27Z
dc.date.available2026-07-07T04:47:27Z
dc.descriptionMotivated 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-infinity algebras have an interpretation as totally ramified extensions of discrete valuation rings. All A-infinity algebras are supposed to be unital and we give a detailed analysis of unital structures which is of independent interest.
dc.descriptionSlightly expanded version. Minor inaccuracies and misprints corrected
dc.identifierhttps://arxiv.org/abs/math/0204062
dc.identifierhttp://arxiv.org/abs/math/0204062
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63720
dc.subjectQuantum Algebra
dc.subjectCommutative Algebra
dc.subjectAlgebraic Topology
dc.subject16E45, 14J10, 13F25, 13N15, 11S15
dc.titleHochschild cohomology and moduli spaces of strongly homotopy associative algebras
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