Hochschild cohomology and the Smith resolution
Abstract
Two different cochain complexes, the Smith and the Bar resolutions are described. There is a product defined on the Bar cochains known as the Gerstenhaber product. It is not graded commutative at the level of cochains. It is possible to construct a graded commutative product on the Smith cochains. A map between the Smith cochains and the Bar cochains is described. This maps is a quasi-isomorphism. It is desired that this map should preserve the product structures up to homotopy, but ultimately this is not established.
Degree
Ph.D.
Advisors
McClure, Purdue University.
Subject Area
Mathematics
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