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On L∞-morphisms of cyclic chains


Cattaneo, A S; Felder, G; Willwacher, T (2009). On L∞-morphisms of cyclic chains. Letters in Mathematical Physics, 90(1-3):85-101.

Abstract

Recently the first two authors (Cattaneo and Felder in 2008) constructed an L ∞-morphism using the S 1-equivariant version of the Poisson Sigma Model. Its role in the 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 (Dolgushev et al. in 2008; Willwacher in 2008).

Recently the first two authors (Cattaneo and Felder in 2008) constructed an L ∞-morphism using the S 1-equivariant version of the Poisson Sigma Model. Its role in the 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 (Dolgushev et al. in 2008; Willwacher in 2008).

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Language:English
Date:2009
Deposited On:28 Jan 2010 10:47
Last Modified:05 Apr 2016 13:49
Publisher:Springer
ISSN:0377-9017
Additional Information:The original publication is available at www.springerlink.com
Publisher DOI:10.1007/s11005-009-0338-z
Related URLs:http://arxiv.org/abs/arxiv:0812.5056
Permanent URL: http://doi.org/10.5167/uzh-28745

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