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Equivariant characteristic classes of singular hypersurfaces

Grant number: 19/02068-8
Support Opportunities:Scholarships in Brazil - Doctorate
Effective date (Start): April 01, 2019
Effective date (End): March 31, 2023
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Principal Investigator:Nivaldo de Góes Grulha Júnior
Grantee:Amanda Monteiro
Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
Associated research grant:14/00304-2 - Singularities of differentiable mappings: theory and applications, AP.TEM


The study of characteristic classes of singular varieties is a current theme and has been widely used in several areas of science. The aim of this project is to study the Schwartz-MacPherson classes and their unfolding. One of the approaches of the project is the construction of equivariant classes following the notion introduced by Ohmoto for the case of Schwartz-MacPherson classes. We present equivariant characteristic classes of Milnor type and Fulton type for singular hypersurfaces. (AU)

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Academic Publications
(References retrieved automatically from State of São Paulo Research Institutions)
MONTEIRO, Amanda. Equivariant characteristic classes of singular hypersurfaces. 2023. Doctoral Thesis - Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB) São Carlos.

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