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Article overview
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On the existence of bibundles | Michael Murray
; David Michael Roberts
; Danny Stevenson
; | Date: |
22 Feb 2011 | Abstract: | We consider the existence of bibundles, in other words locally trivial
principal $G$ spaces with commuting left and right $G$ actions. We show that
their existence is closely related to the structure of the group $Out(G)$ of
outer automorphisms of $G$. We also develop a classifying theory for bibundles.
The theory is developed in full generality for $(H, G)$ bibundles for a
crossed-module $(H, G)$ and we show with examples the close links with loop
group bundles. | Source: | arXiv, 1102.4388 | Services: | Forum | Review | PDF | Favorites |
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