- Abstract:
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In this paper, we show that loop groups and the universal cover of Diff +(S 1) canbe expressed as colimits of groups of loops/diffeomorphisms supported in subintervals of S1. Analogous results hold for based loop groups and for the based diffeomorphism group of S1. These results continue to hold for the corresponding centrally extended groups. We use the above results to construct a comparison functor from the representations of a loop group conformal net to the representations of the corresp...
Expand abstract - Publication status:
- Published
- Peer review status:
- Peer reviewed
- Version:
- Publisher's Version
- Files:
-
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(pdf, 471.2kb)
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- Publisher copy:
- 10.1007/s00220-019-03394-8
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- Publisher:
- Springer Nature Publisher's website
- Journal:
- Communications in Mathematical Physics Journal website
- Volume:
- 366
- Issue:
- 2
- Pages:
- 537–565
- Publication date:
- 2019-03-06
- Acceptance date:
- 2019-01-21
- DOI:
- EISSN:
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1432-0916
- ISSN:
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0010-3616
- Pubs id:
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pubs:965587
- URN:
-
uri:8a80bc79-3d12-4b84-8c3c-f610bc339daa
- UUID:
-
uuid:8a80bc79-3d12-4b84-8c3c-f610bc339daa
- Local pid:
- pubs:965587
- Copyright holder:
- Henriques
- Copyright date:
- 2019
- Notes:
- © The Author(s) 2019. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
Journal article
Loop groups and diffeomorphism groups of the circle as colimits
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