| Softcover ISBN: | 978-2-85629-932-6 |
| Product Code: | SMFMEM/168 |
| List Price: | $52.00 |
| AMS Member Price: | $41.60 |
| Softcover ISBN: | 978-2-85629-932-6 |
| Product Code: | SMFMEM/168 |
| List Price: | $52.00 |
| AMS Member Price: | $41.60 |
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Book DetailsMémoires de la Société Mathématique de FranceVolume: 168; 2021; 108 ppMSC: Primary 18; 55
The author considers \(L_{\infty}\)-quasi-isomorphisms for Hochschild cochains whose structure maps admit “graphical expansion.” The author introduces the notion of stable formality quasi-isomorphism which formalizes such an \(L_{\infty}\)-quasi-isomorphism and defines a homotopy equivalence on the set of stable formality quasi-isomorphisms and proves that the set of homotopy classes of stable formality quasi-isomorphisms form a torsor for the group corresponding to the zeroth cohomology of the full (directed) graph complex. This result may be interpreted as a complete description of homotopy classes of formality quasi-isomorphisms for Hochschild cochains in the “stable setting.”
A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.
ReadershipGraduate students and research mathematicians.
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The author considers \(L_{\infty}\)-quasi-isomorphisms for Hochschild cochains whose structure maps admit “graphical expansion.” The author introduces the notion of stable formality quasi-isomorphism which formalizes such an \(L_{\infty}\)-quasi-isomorphism and defines a homotopy equivalence on the set of stable formality quasi-isomorphisms and proves that the set of homotopy classes of stable formality quasi-isomorphisms form a torsor for the group corresponding to the zeroth cohomology of the full (directed) graph complex. This result may be interpreted as a complete description of homotopy classes of formality quasi-isomorphisms for Hochschild cochains in the “stable setting.”
A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.
Graduate students and research mathematicians.
