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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.
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).
| 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: | 24 Jun 2025 01:38 |
| 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: |
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Willwacher, Thomas