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The Many Facets of GeometryA Tribute to Nigel Hitchin$
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Oscar Garcia-Prada, Jean Pierre Bourguignon, and Simon Salamon

Print publication date: 2010

Print ISBN-13: 9780199534920

Published to Oxford Scholarship Online: September 2010

DOI: 10.1093/acprof:oso/9780199534920.001.0001

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An Introduction to Bundle Gerbes

An Introduction to Bundle Gerbes

Chapter:
(p.237) XII An Introduction to Bundle Gerbes
Source:
The Many Facets of Geometry
Author(s):

Michael K. Murray

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199534920.003.0012

This chapter focuses on bundle gerbes, which provide a geometric realisation of the three dimensional cohomology of a manifold. It shows that the pattern of a p-gerbe being defined as a (p - 1)-gerbe on double overlaps of some open cover is exploited by Hitchin and Chatterjee to give a definition of a 1-gerbe.

Keywords:   bundle grebes, geometric construction, cohomology, manifold

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