Header

UZH-Logo

Maintenance Infos

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).

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).

Statistics

Citations

1 citation in Web of Science®
1 citation in Scopus®
Google Scholar™

Altmetrics

Downloads

33 downloads since deposited on 28 Jan 2010
9 downloads since 12 months
Detailed statistics

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:06 Dec 2017 23:50
Publisher:Springer
ISSN:0377-9017
Additional Information:The original publication is available at www.springerlink.com
Publisher DOI:https://doi.org/10.1007/s11005-009-0338-z
Related URLs:http://arxiv.org/abs/arxiv:0812.5056

Download

Download PDF  'On L∞-morphisms of cyclic chains'.
Preview
Content: Accepted Version
Filetype: PDF
Size: 1MB
View at publisher