| Grant number: | 09/12576-9 |
| Support type: | Research Grants - Visiting Researcher Grant - International |
| Duration: | November 15, 2009 - August 16, 2010 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics |
| Principal Investigator: | Marcos Benevenuto Jardim |
| Grantee: | Marcos Benevenuto Jardim |
| Visiting researcher: | Misha Verbitsky |
| Visiting researcher institution: | University of Tokyo, Japan |
| Home Institution: | Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil |
| Associated research grant: | 05/04558-0 - Symmetries in geometry, topology and mathematical physics, AP.TEM |
Abstract
We propose to investigate concrete geometric and topological properties related to hyperkähler manifolds, existence of differentiable structures, and of relevant deformations. In particular, we also propose to investigate what geometric structures (hypercomplex, quaternionic kahler, hyperkähler, etc) arise in nonsingular locus of the moduli spaces of instanton bundles over complex projective spaces of dimension n. For n=2, such space is known to cary a hyperkähler metric; the case n=3 is open, and already of great interest. (AU)