Poincare duality induces a BV-structure on Hochschild cohomology.

Title: Poincare duality induces a BV-structure on Hochschild cohomology.
Identifier: AAI3063891
identifier: 3063891
Creator: Tradler, Thomas.
Contributor: Adviser: Dennis Sullivan
Date: 2002
Language: English
Publisher: City University of New York.
Subject: Mathematics
Abstract: In this thesis we develop the notion of Poincare-duality for A infinity-algebras. Algebraically this allows a synthesis of Gersten-haber's G-algebra structure on one Hochschild complex with Connes' cyclic structure on the other Hochschild complex. We obtain a BV-algebra by combining both structures. Geometrically, the notion of Poincare-duality for A infinity-algebras can be constructed in the intersection theory of a closed manifold. We obtain an algebraic model for the BV-algebra of string topology verified modulo one point.
Type: dissertation
Source: PQT Legacy CUNY.xlsx
degree: Ph.D.