Magnetic monopoles on manifolds with boundary
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Abstract:
Kapustin and Witten associate a Hecke modification of a holomorphic bundle over a Riemann surface to a singular monopole on a Riemannian surface times an interval satisfying prescribed boundary conditions. We prove the existence and uniqueness of singular monopoles satisfying prescribed boundary conditions for any given Hecke modification data confirming the underlying geometric invariant theory principle.References
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Additional Information
- Paul Norbury
- Affiliation: Department of Mathematics and Statistics, University of Melbourne, Melbourne, Australia 3010
- MR Author ID: 361773
- Email: pnorbury@ms.unimelb.edu.au
- Received by editor(s): September 22, 2008
- Published electronically: October 15, 2010
- Additional Notes: The author was partially supported by ARC Discovery project DP0664276.
- © Copyright 2010
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 363 (2011), 1287-1309
- MSC (2010): Primary 53C07, 14D21; Secondary 58J32
- DOI: https://doi.org/10.1090/S0002-9947-2010-04934-7
- MathSciNet review: 2737266