On L-infinity morphisms of cyclic chains

Abstract

Recently the first two authors constructed an L-infinity morphism using the S^1-equivariant version of the Poisson Sigma Model (PSM). Its role in deformation quantization was not entirely clear. We give here a "good" interpretation and show that the resulting formality statement is equivalent to formality on cyclic chains as conjectured by Tsygan and proved recently by several authors.

11 pages

References in corpus (2)

• Formality of the homotopy calculus algebra of Hochschild (co)chains
• Effective Batalin--Vilkovisky theories, equivariant configuration spaces and cyclic chains

Cited by in corpus (2)

• Effective Batalin--Vilkovisky theories, equivariant configuration spaces and cyclic chains
• The character map in deformation quantization