Publication
Title
A proof of the Tsygan formality conjecture for chains
Author
Abstract
We extend the Kontsevich formality L∞-morphism to an L∞-morphism of L∞-modules over . The construction of the map is given in Kontsevich-type integrals. The conjecture that such an L∞-morphism exists is due to Boris Tsygan (Formality Conjecture for Chains, math. QA/9904132). As an application, we obtain an explicit formula for isomorphism is the Kontsevich deformation quantization of the algebra A by a Poisson bivector field, and {,} is the Poisson bracket). We also formulate a conjecture extending the Kontsevich theorem on cup-products to this context. The conjecture implies a generalization of the Duflo formula, and many other things.
Language
English
Source (journal)
Advances in mathematics. - New York, N.Y.
Publication
New York, N.Y. : 2003
ISSN
0001-8708
Volume/pages
179:1(2003), p. 7-37
ISI
000185640500002
Full text (Publisher's DOI)
Full text (publisher's version - intranet only)
UAntwerpen
Faculty/Department
Project info
Publication type
Subject
External links
Web of Science
Record
Identification
Creation 17.10.2014
Last edited 17.12.2017