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| Author(s): |
Patrícia Borges dos Santos
Total Authors: 1
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| Document type: | Doctoral Thesis |
| Press: | Campinas, SP. |
| Institution: | Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica |
| Defense date: | 2016-02-24 |
| Examining board members: |
Marcos Benevenuto Jardim;
Renato Vidal da Silva Martins;
Abdelmoubine Amar Henni;
Luca Scala;
Simone Marchesi
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| Advisor: | Marcos Benevenuto Jardim |
| Abstract | |
The moduli space of representations of the ADHM quiver in the category of complex vector spaces is isomorphic to moduli space of framed torsion-free sheaves on the projective plane. In particular, when we consider rank 1 torsion-free sheaves, the ADHM data describe the Hilbert scheme of n points in the complex plane, for some given integer n. Similarly, we state and prove a relation between the moduli space of stable framed representations of the enhanced ADHM quiver and the nested Hilbert scheme (AU) | |
| FAPESP's process: | 09/16646-1 - The ADHM equations and their generalizations. |
| Grantee: | Patrícia Borges dos Santos |
| Support Opportunities: | Scholarships in Brazil - Doctorate |