| Full text | |
| Author(s): |
Franco, Emilio
;
Tortella, Pietro
Total Authors: 2
|
| Document type: | Journal article |
| Source: | ADVANCES IN MATHEMATICS; v. 318, p. 459-496, OCT 1 2017. |
| Web of Science Citations: | 0 |
| Abstract | |
We study the moduli space M-x (Lambda, n) of semistable Lambda-modules of vanishing Chern classes over an abelian variety X, where A belongs to a certain subclass of D-algebras. In particular, for Lambda = D-X (resp. A = Sym(center dot)TX) we obtain a description of the moduli spaces of flat connections (resp. Higgs bundles). We give a description of M-x (Lambda, n) in terms of a symmetric product of a certain fibre bundle over the dual abelian variety (X) over cap. We also give a moduli interpretation to the associated Hilbert scheme as the classifying space of Lambda-modules with extra structure. Finally, we study the non-abelian Hodge theory associated to these new moduli spaces. (C) 2017 Elsevier Inc. All rights reserved. (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: | 11/17593-9 - Holomorphic Lie algebroids, stacks of twisted modules and applications to the Hitchin system and Poisson geometry. |
| Grantee: | Pietro Tortella |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| FAPESP's process: | 12/16356-6 - Higgs bundles over elliptic curves |
| Grantee: | Emilio Franco Gómez |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |