Published June 20, 2017
| Submitted
Journal Article
Open
A wonderful embedding of the loop group
- Creators
- Solis, Pablo
Abstract
I describe the wonderful compactification of loop groups. These compactifications are obtained by adding normal-crossing boundary divisors to the group LG of loops in a reductive group G (or more accurately, to the semi-direct product C×⋉LG) in a manner equivariant for the left and right C×⋉LG-actions. The analogue for a torus group T is the theory of toric varieties; for an adjoint group G, this is the wonderful compactification of De Concini and Procesi. The loop group analogue is suggested by work of Faltings in relation to the compactification of moduli of G-bundles over nodal curves.
Additional Information
© 2016 Elsevier Inc. Received 16 June 2015, Revised 9 October 2016, Accepted 12 October 2016, Available online 16 May 2017. This research was supported by the University of California Berkeley, an NSF graduate research fellowship DGE 1106400, and by Caltech. I thank my advisor Constantin Teleman for suggesting this project. I also thank the referee for helpful comments and corrections.Attached Files
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Additional details
- Eprint ID
- 78246
- DOI
- 10.1016/j.aim.2016.10.016
- Resolver ID
- CaltechAUTHORS:20170615-103429855
- University of California Berkeley
- DGE-1106400
- NSF Graduate Research Fellowship
- Caltech
- Created
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2017-06-15Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field