Please use this identifier to cite or link to this item:
http://hdl.handle.net/1942/14299
Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Calaque, Damien | - |
dc.contributor.author | Rossi, Carlo A. | - |
dc.contributor.author | VAN DEN BERGH, Michel | - |
dc.date.accessioned | 2012-11-09T10:36:38Z | - |
dc.date.available | 2012-11-09T10:36:38Z | - |
dc.date.issued | 2012 | - |
dc.identifier.citation | ANNALS OF MATHEMATICS, 176 (2), p. 865-923 | - |
dc.identifier.issn | 0003-486X | - |
dc.identifier.uri | http://hdl.handle.net/1942/14299 | - |
dc.description.abstract | In this paper we complete the proof of Caldararu's conjecture on the compatibility between the module structures on differential forms over polyvector fields and on Hochschild homology over Hochschild cohomology. In fact we show that twisting with the square root of the Todd class gives an isomorphism of precalculi between these pairs of objects. Our methods use formal geometry to globalize the local formality quasi-isomorphisms introduced by Kontsevich and Shoikhet. (The existence of the latter was conjectured by Tsygan.) We also rely on the fact - recently proved by the first two authors - that Shoikhet's quasi-isomorphism is compatible with cap products after twisting with a Maurer-Cartan element. | - |
dc.language.iso | en | - |
dc.publisher | ANNAL MATHEMATICS | - |
dc.subject.other | Mathematics; Caldararu's conjecture; Tsygan formality | - |
dc.title | Caldararu's conjecture and Tsygan's formality | - |
dc.type | Journal Contribution | - |
dc.identifier.epage | 923 | - |
dc.identifier.issue | 2 | - |
dc.identifier.spage | 865 | - |
dc.identifier.volume | 176 | - |
local.format.pages | 59 | - |
local.bibliographicCitation.jcat | A1 | - |
dc.description.notes | [Calaque, Damien] ETH, Zurich, Switzerland. [Calaque, Damien] CNRS, Inst Camille Jordan, F-75700 Paris, France. [Calaque, Damien] Univ Lyon 1, F-69622 Villeurbanne, France. [Rossi, Carlo A.] MPIM Bonn, Bonn, Germany. [Van den Bergh, Michel] Hasselt Univ, Diepenbeek, Belgium. | - |
local.publisher.place | PRINCETON | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
dc.bibliographicCitation.oldjcat | A1 | - |
dc.identifier.doi | 10.4007/annals.2012.176.2.4 | - |
dc.identifier.isi | 000307878000004 | - |
item.accessRights | Closed Access | - |
item.validation | ecoom 2013 | - |
item.fulltext | No Fulltext | - |
item.fullcitation | Calaque, Damien; Rossi, Carlo A. & VAN DEN BERGH, Michel (2012) Caldararu's conjecture and Tsygan's formality. In: ANNALS OF MATHEMATICS, 176 (2), p. 865-923. | - |
item.contributor | Calaque, Damien | - |
item.contributor | Rossi, Carlo A. | - |
item.contributor | VAN DEN BERGH, Michel | - |
crisitem.journal.issn | 0003-486X | - |
crisitem.journal.eissn | 1939-8980 | - |
Appears in Collections: | Research publications |
SCOPUSTM
Citations
3
checked on Sep 3, 2020
WEB OF SCIENCETM
Citations
12
checked on Apr 22, 2024
Page view(s)
54
checked on Sep 5, 2022
Google ScholarTM
Check
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.