Topological invariants of minimax problems with symmetry

• Grant number: 11/23610-3
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: March 01, 2012
• End date: November 30, 2015
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Denise de Mattos
• Grantee: Nelson Antonio Silva
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Associated scholarship(s): 12/15659-5 - Topological invariants of minimax problems with symmetry, BE.EP.DR

Abstract

This project consists of the following important problems in the field of Geometry and Topology: (1) To study the equivariant category of (some) 3 manifolds. (2) To study the equivariant category of non-orintable 2 manifolds and connections of critical orbits of invariant functions with Fuchs groups in dimensions greater than 2. (3) To study combinatorial invariants of a smooth function $f:M\to \mathbb{R}$ on compact manifolds related to the critical points

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

DE MATTOS, DENISE; DOS SANTOS, EDIVALDO L.; SILVA, NELSON ANTONIO. On the length of cohomology spheres. Topology and its Applications, v. 293, APR 15 2021. (16/24707-4, 11/23610-3)

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

SILVA, Nelson Antonio. On G-maps between cohomology spheres and a representation of the Reeb Graph as a subcomplex of a manifold. 2016. Doctoral Thesis - Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB) São Carlos.