Uniqueness of A(infinity)-structures and Hochschild cohomology

作者:Roitzheim Constanze*; Whitehouse Sarah
来源:Algebraic and Geometric Topology, 2011, 11(1): 107-143.
DOI:10.2140/agt.2011.11.107

摘要

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.

  • 出版日期2011