Equivariant characteristic classes of singular hypersurfaces

• Grant number: 19/02068-8
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: April 01, 2019
• End date: 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

Abstract

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)

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.