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The Grothendieck–Teichmüller group action on differential forms and formality morphisms of chains

Willwacher, Thomas (2017). The Grothendieck–Teichmüller group action on differential forms and formality morphisms of chains. Journal für die Reine und Angewandte Mathematik, 2017(726):249-265.

Abstract

It is known that one can associate a Kontsevich-type formality morphism to every Drinfeld associator. In the present paper, we show that this morphism may be extended to a Kontsevich–Shoikhet formality morphism of cochains and chains, by describing the action of the Grothendieck–Teichmüller group on such objects (up to homotopy).

Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:National licences > 142-005
Dewey Decimal Classification:510 Mathematics
Scopus Subject Areas:Physical Sciences > General Mathematics
Physical Sciences > Applied Mathematics
Uncontrolled Keywords:Applied Mathematics, General Mathematics
Language:English
Date:1 January 2017
Deposited On:18 Oct 2021 07:50
Last Modified:14 Sep 2024 03:42
Publisher:De Gruyter
ISSN:0075-4102
OA Status:Green
Free access at:Publisher DOI. An embargo period may apply.
Publisher DOI:https://doi.org/10.1515/crelle-2014-0135
Project Information:
  • Funder: SNSF
  • Grant ID: PDAMP2_137151
  • Project Title: Geometry, Algebra and Mathematical Physics
  • Funder: SNSF
  • Grant ID: 200021_150012
  • Project Title: Graphical Models, Quantization, and the Grothendieck-Teichmüller Group
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  • Content: Published Version
  • Language: English
  • Description: Nationallizenz 142-005

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