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Title: Lie algebroids over differentiable stacks
Author: Waldron, James
ISNI:       0000 0004 5350 8393
Awarding Body: University of York
Current Institution: University of York
Date of Award: 2014
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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.
Supervisor: Hawkins, Eli Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available