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http://hdl.handle.net/1942/11439
Title: | Hochschild (Co)homology for Lie Algebroids | Authors: | Calaque, Damien Rossi, Carlo A. VAN DEN BERGH, Michel |
Issue Date: | 2010 | Publisher: | OXFORD UNIV PRESS | Source: | INTERNATIONAL MATHEMATICS RESEARCH NOTICES, (21). p. 4098-4136 | Abstract: | We define the Hochschild (co)homology of a ringed space relative to a locally free Lie algebroid. Our definitions mimic those of Swan and Caldararu for an algebraic variety. We show that our (co)homology groups can be computed using suitable standard complexes. Our formulas depend on certain natural structures on jet bundles over Lie algebroids. In an appendix, we explain this by showing that such jet bundles are formal groupoids which serve as the formal exponentiation of the Lie algebroid. | Notes: | [Calaque, Damien] Univ Lyon 1, Inst Camille Jordan, F-69622 Villeurbanne, France. [Rossi, Carlo A.] ETH, Dept Math, CH-8092 Zurich, Switzerland. [van den Bergh, Michel] Hasselt Univ, Dept WNI, B-3590 Diepenbeek, Belgium. | Document URI: | http://hdl.handle.net/1942/11439 | ISSN: | 1073-7928 | e-ISSN: | 1687-0247 | DOI: | 10.1093/imrn/rnq033 | ISI #: | 000283682600005 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2011 |
Appears in Collections: | Research publications |
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