The Covariant Picard Groupoid in Differential Geometry
Stefan Waldmann
TL;DR
This paper explores the covariant Picard groupoid within differential geometry, focusing on lifting Lie algebra actions to line bundles and providing a groupoid perspective on these geometric structures.
Contribution
It introduces a novel interpretation of lifting Lie algebra actions to line bundles using the covariant Picard groupoid framework.
Findings
Established general results on the covariant Picard groupoid
Provided a new perspective on lifting Lie algebra actions
Connected the theory to differential geometric structures
Abstract
In this article we discuss some general results on the covariant Picard groupoid in the context of differential geometry and interpret the problem of lifting Lie algebra actions to line bundles in the Picard groupoid approach.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra · Algebraic structures and combinatorial models