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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| Official URL: http://dx.doi.org/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: | Article |
|---|---|
| DOI/Identification number: | 10.2140/agt.2011.11.107 |
| Uncontrolled keywords: | A-infinity algebras, Hochschild cohomology |
| Subjects: | Q Science > QA Mathematics (inc Computing science) > QA440 Geometry > QA611 Topology > QA612 Algebraic topology |
| Divisions: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |
| Funders: | [UNSPECIFIED] EPSRC |
| Depositing User: | Constanze Roitzheim |
| Date Deposited: | 13 Aug 2012 15:53 UTC |
| Last Modified: | 16 Nov 2021 10:08 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/30123 (The current URI for this page, for reference purposes) |
| Roitzheim, Constanze: |  https://orcid.org/0000-0003-3065-0672 |
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