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Deformations of
linear Lie brackets
Pier Paolo La Pastina and Luca Vitagliano |
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Vol. 303 (2019), No. 1, 265–298
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Abstract |
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A VB-algebroid is a vector bundle object in the category of Lie algebroids. We attach to every VB-algebroid a differential graded Lie algebra and we show that it controls deformations of the VB-algebroid structure. Several examples and applications are discussed. This is the first in a series of papers devoted to deformations of vector bundles and related structures over differentiable stacks. |
Keywords
Lie algebroids, VB-algebroids, deformations, graded
manifolds, deformation cohomology
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Mathematical Subject Classification 2010
Primary: 22A22, 58H05, 58H15
Secondary: 17B55
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Milestones
Received: 4 June 2018
Revised: 1 March 2019
Accepted: 2 March 2019
Published: 21 December 2019
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Authors |
| Pier Paolo La Pastina | |
| Department of Mathematics Sapienza University of Rome Rome Italy |
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| Luca Vitagliano | |
| Department of Mathematics University of Salerno Fisciano Italy |
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