Uniqueness of A-infinity structures and Hochschild cohomology

Roitzheim, C. and Whitehouse, S. (2011) Uniqueness of A-infinity structures and Hochschild cohomology. Algebraic and Geometric Topology, 11(1), pp. 107-143. (doi: 10.2140/agt.2011.11.107)

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Abstract

Working over a commutative ground ring, we establish a Hochschild cohomology criterion for uniqueness of derived A-infinity algebra structures in the sense of Sagave. We deduce a Hochschild cohomology criterion for intrinsic formality of a differential graded algebra. This generalizes a classical result of Kadeishvili for the case of a graded algebra over a field.

Item Type:Articles
Keywords:A-infinty algebras, differential graded algebras
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Roitzheim, Dr Constanze
Authors: Roitzheim, C., and Whitehouse, S.
Subjects:Q Science > QA Mathematics
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Algebraic and Geometric Topology
ISSN:1472-2747
ISSN (Online):1472-2739
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