The Covariant Picard Groupoid in Differential Geometry

2005/09/23 by Stefan Waldmann, Waldmann, Stefan
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #Homotopy and Cohomology in Algebraic Topology #Mathematical Physics (math-ph) #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.math-ph/0509054

openalex publication_date 2005/09/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Morita equivalence for c∗-algebras and w∗-algebras
• Variations on deformation quantization

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