Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/122935
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Type: | Journal article |
Title: | The Weyl map and bundle gerbes |
Author: | Becker, K.E. Murray, M.K. Stevenson, D. |
Citation: | Journal of Geometry and Physics, 2020; 149:103572-1-103572-19 |
Publisher: | Elsevier |
Issue Date: | 2020 |
ISSN: | 0393-0440 1879-1662 |
Statement of Responsibility: | Kimberly E. Becker, Michael K. Murray, Daniel Stevenson |
Abstract: | We introduce the notion of a general cup product bundle gerbe and use it to define the Weyl bundle gerbe on T x SU(n)/T. The Weyl map from T x SU(n)/T to SU(n) is then used to show that the pullback of the basic bundle gerbe on SU(n) defined by the second two authors is stably isomorphic to the Weyl bundle gerbe as SU(n)-equivariant bundle gerbes. Both bundle gerbes come equipped with connections and curvings and by considering the holonomy of these we show that these bundle gerbes are not D-stably isomorphic. |
Keywords: | Bundle gerbe; Basic bundle gerbe; Cup product bundle gerbe; Stable isomorphism |
Description: | Available online 5 December 2019. |
Rights: | ©2019 Elsevier B.V. All rights reserved. |
DOI: | 10.1016/j.geomphys.2019.103572 |
Grant ID: | http://purl.org/au-research/grants/arc/DP180100383 |
Published version: | http://dx.doi.org/10.1016/j.geomphys.2019.103572 |
Appears in Collections: | Aurora harvest 8 Mathematical Sciences publications |
Files in This Item:
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hdl_122935.pdf | Accepted version | 585.58 kB | Adobe PDF | View/Open |
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