Morita bundle gerbes

2016/10/18 by А. В. Ершов, Andrei V. Ershov, Ershov, Andrei V.
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #math.KT

paper · pdf · doi:10.48550/arxiv.1610.05754

17 pages

openalex publication_date 2016/10/18 · arxiv created 2017/11/28 · arxiv updated 2017/11/29 · openalex created_date 2017/12/22 · openalex updated_date 2026/07/28

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.

Citations

• Bundle Gerbes: Stable Isomorphism and Local Theory
• Units of ring spectra and Thom spectra

Related

• Constructions with bundle gerbes
• An Introduction to Bundle Gerbes
• The Geometry of Bundle Gerbes
• Morita theory of twisted sheaves on μ_n-gerbes of line bundles
• Bundle gerbes and the Weyl map