Uniqueness of A∞–structures and Hochschild cohomology

Roitzheim, Constanze¹ ; Whitehouse, Sarah²

¹Department of Mathematics, University of Glasgow, University Gardens, Glasgow, G12 8QW, UK
²School of Mathematics and Statistics, University of Sheffield, Hicks Building, Hounsfield Road, Sheffield S3 7RH, UK

Algebraic and Geometric Topology, Tome 11 (2011) no. 1, pp. 107-143

Résumé

Working over a commutative ground ring, we establish a Hochschild cohomology criterion for uniqueness of derived A∞–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.

Détail

DOI : 10.2140/agt.2011.11.107

Keywords: Hochschild cohomology, $A$–infinity algebra, formality

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