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26 April 2024 |
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Article overview
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Equivariant bundle gerbes | | Michael K. Murray
; David Michael Roberts
; Danny Stevenson
; Raymond F. Vozzo
; | | Date: |
26 Jun 2015 | | Abstract: | We develop the theory of simplicial extensions for bundle gerbes and their
characteristic classes. This formalism is used to study descent problems and
equivariance for bundle gerbes. We consider in detail two examples: the basic
bundle gerbe on a unitary group and a string structure for a principal bundle.
We show that the basic bundle gerbe is equivariant for the conjugation action
and calculate its characteristic class and that a string structure gives rise
to a bundle gerbe which is equivariant for a natural action of the String
2-group. | | Source: | arXiv, 1506.7931 | | Services: | Forum | Review | PDF | Favorites | |
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