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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Branes in the moduli space of framed sheaves

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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: 15/06696-2 - Behavior of branes under mirror symmetry in the moduli spaces of Higgs bundles
Grantee:Emilio Franco Gómez
Support type: Scholarships abroad - Research Internship - Post-doctor
FAPESP's process: 14/19676-7 - Vector bundles on projective varieties
Grantee:Simone Marchesi
Support type: Regular Research Grants
FAPESP's process: 14/14743-8 - Sheaves on projective varieties
Grantee:Marcos Benevenuto Jardim
Support type: Regular Research Grants
FAPESP's process: 12/16356-6 - Higgs bundles over elliptic curves
Grantee:Emilio Franco Gómez
Support type: Scholarships in Brazil - Post-Doctorate