Morita bundle gerbes
Andrei V. Ershov
TL;DR
This paper surveys the theory of bundle gerbes, highlighting the role of Morita equivalences and introducing Morita 2-bundle gerbes as a higher analog.
Contribution
It provides a comprehensive overview of bundle gerbes and introduces Morita 2-bundle gerbes, emphasizing the unifying role of Morita equivalences.
Findings
Morita equivalences unify the theory of bundle gerbes
Introduction of Morita 2-bundle gerbes as a higher analog
Clarification of the role of Morita equivalences in higher structures
Abstract
The aim of this paper is to give a survey of the theory of bundle gerbes. In our approach we especially emphasize the unifying role of Morita equivalences in this theory. We also discuss a higher analog of Morita bundle gerbes called Morita 2-bundle gerbes.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra · Algebraic structures and combinatorial models