# Uniqueness of A-infinity structures and Hochschild cohomology

Roitzheim, Constanze, Whitehouse, Sarah (2011) Uniqueness of A-infinity structures and Hochschild cohomology. Algebraic & Geometric Topology, 11 (1). pp. 107-143. ISSN 1472-2739. (doi:10.2140/agt.2011.11.107) (KAR id:30123)

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http://dx.doi.org/10.2140/agt.2011.11.107

## 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: Article 10.2140/agt.2011.11.107 A-infinity algebras, Hochschild cohomology Q Science > QA Mathematics (inc Computing science) > QA440 Geometry > QA611 Topology > QA612 Algebraic topology Faculties > Sciences > School of Mathematics Statistics and Actuarial ScienceFaculties > Sciences > School of Mathematics Statistics and Actuarial Science > Pure Mathematics Constanze Roitzheim 13 Aug 2012 15:53 UTC 12 Feb 2020 04:04 UTC https://kar.kent.ac.uk/id/eprint/30123 (The current URI for this page, for reference purposes) https://orcid.org/0000-0003-3065-0672