Dissertation/Thesis Abstract

Kontsevich's swiss cheese conjecture
by Thomas, Justin D., Ph.D., Northwestern University, 2010, 93; 3402494
Abstract (Summary)

We prove a conjecture of Kontsevich (Kon99) which states that if A is an Ed-1 algebra then the Hochschild cohomology object of A is the universal Ed algebra acting on A. The notion of an Ed algebra acting on an Ed -1 operad was also defined by Kontsevich using the swiss cheese operad of Voronov (Vor99). We prove a homotopical property of the swiss cheese operad from which the conjecture follows.

Indexing (document details)
Advisor: Costello, Kevin
Commitee: Goerss, Paul, Tamarkin, Dmitry
School: Northwestern University
Department: Mathematics
School Location: United States -- Illinois
Source: DAI-B 71/05, Dissertation Abstracts International
Subjects: Mathematics
Keywords: E_d, E_n, Hochschild cohomology, Kontsevich's conjecture, Swiss cheese operad
Publication Number: 3402494
ISBN: 978-1-109-74616-7
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