| Grant number: | 15/06697-9 |
| Support type: | Research Grants - Visiting Researcher Grant - International |
| Duration: | August 03, 2015 - August 02, 2016 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Geometry and Topology |
| Principal researcher: | 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 |
| Home 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 |
| 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)