Singularities of maps, characteristic classes, and intersection homology
Boundary of the moduli space of instanton bundles on projective space
Algebraic-topological methods for dynamical systems on differentiable and singular...
| Grant number: | 15/06697-9 |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |
| Start date: | August 03, 2015 |
| End date: | August 02, 2016 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Geometry and Topology |
| Principal Investigator: | João Carlos Ferreira Costa |
| Grantee: | João Carlos Ferreira Costa |
| Visiting researcher: | Jean-Paul Michel Ildephonse Brasselet |
| Visiting researcher institution: | Institut de Mathématiques de Luminy , France |
| Host Institution: | Instituto de Biociências, Letras e Ciências Exatas (IBILCE). Universidade Estadual Paulista (UNESP). Campus de São José do Rio Preto. São José do Rio Preto , SP, Brazil |
| City of the host institution: | São José do Rio Preto |
| Associated research grant: | 14/00304-2 - Singularities of differentiable mappings: theory and applications, AP.TEM |
Abstract
The research project is on the characteristic classes and intersection homology theory. The first subject to be investigated concerns Milnor classes. It is curious that, at the moment, there are few (or none) examples and applications of them. Another point on Milnor classes, is that the Prof. Brasselet gave a conjecture formula for duality of these classes in terms of polar varieties. Now, it is expected to explicit the proof of this conjecture. Another part of this project is to provide a geometric representation of cicles permited in intersection homology theory. (AU)
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