Behavior of branes under mirror symmetry in the moduli spaces of Higgs bundles
On the quantity of elliptic curves satisfying the Birch and Swinnerton-Dyer conjec...
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| Author(s): |
Total Authors: 3
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| Affiliation: | [1] Univ Porto, CMUP, Rua Campo Alegre 1021-1055, P-4169007 Porto - Portugal
[2] CSIC UAM UC3MUCM, ICMAT, Calle Nicolas Cabrera 15, Madrid 28049 - Spain
[3] Univ Liverpool, Dept Math Sci, Peach St, Liverpool L69 7ZL, Merseyside - England
Total Affiliations: 3
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| Document type: | Journal article |
| Source: | QUARTERLY JOURNAL OF MATHEMATICS; v. 70, n. 1, p. 105-146, MAR 2019. |
| Web of Science Citations: | 1 |
| Abstract | |
We study topologically trivial G-Higgs bundles over an elliptic curve X when the structure group G is a connected real form of a complex semisimple Lie group G(C). We achieve a description of their (reduced) moduli space, the associated Hitchin fibration and the finite morphism to the moduli space of G(C)-Higgs bundles. (AU) | |
| FAPESP's process: | 15/06696-2 - Behavior of branes under mirror symmetry in the moduli spaces of Higgs bundles |
| Grantee: | Emilio Franco Gómez |
| Support Opportunities: | Scholarships abroad - Research Internship - Post-doctor |
| FAPESP's process: | 12/16356-6 - Higgs bundles over elliptic curves |
| Grantee: | Emilio Franco Gómez |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |