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arXiv · 1805.02108

Deformations of Linear Lie Brackets

Pier Paolo La Pastina·Luca Vitagliano
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Abstract

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.

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Pier Paolo La Pastina, Luca Vitagliano. 2018-05-05. Deformations of Linear Lie Brackets. https://doi.org/10.2140/pjm.2019.303.265

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