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Please use this identifier to cite or link to this item: 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
Citation: 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.
URI: http://hdl.handle.net/1942/11439
DOI: 10.1093/imrn/rnq033
ISI #: 000283682600005
ISSN: 1073-7928
Category: A1
Type: Journal Contribution
Validation: ecoom, 2011
Appears in Collections: Research publications

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