| Full text | |
| Author(s): |
Franco, Emilio
;
Jardim, Marcos
;
Marchesi, Simone
Total Authors: 3
|
| Document type: | Journal article |
| Source: | BULLETIN DES SCIENCES MATHEMATIQUES; v. 141, n. 4, p. 353-383, JUN 2017. |
| Web of Science Citations: | 4 |
| Abstract | |
In the physicist's language, a brane in a hyperkahler manifold is a submanifold which is either complex or lagrangian with respect to three Kahler structures of the ambient manifold. By considering the fixed loci of certain involutions, we describe branes in Nakajima quiver varieties of all possible types. We then focus on the moduli space of framed torsion free sheaves on the projective plane, showing how the involutions considered act on sheaves, and proving the existence of branes in some cases.(C) 2017 Elsevier Masson SAS. All rights reserved. (AU) | |
| FAPESP's process: | 12/16356-6 - Higgs bundles over elliptic curves |
| Grantee: | Emilio Franco Gómez |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| 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: | 14/14743-8 - Sheaves on projective varieties |
| Grantee: | Marcos Benevenuto Jardim |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 14/19676-7 - Vector bundles on projective varieties |
| Grantee: | Simone Marchesi |
| Support Opportunities: | Regular Research Grants |