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Lie Algebroids over Differentiable Stacks

Waldron, James (2014) Lie Algebroids over Differentiable Stacks. PhD thesis, University of York.

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We develop a theory of Lie algebroids over differentiable stacks that extends the standard theory of Lie algebroids over manifolds. In particular we show that Lie algebroids satisfy descent for submersions, define the category of Lie algebroids over a differentiable stack, construct a cohomology theory for these objects, and explain the relation to the theory of LA-groupoids. We construct a number of examples.

Item Type: Thesis (PhD)
Academic Units: The University of York > Mathematics (York)
Identification Number/EthosID: uk.bl.ethos.634377
Depositing User: Mr James Waldron
Date Deposited: 28 Jan 2015 12:14
Last Modified: 08 Sep 2016 13:32
URI: http://etheses.whiterose.ac.uk/id/eprint/7818

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