Topological invariants of minimax problems with symmetry

• Grant number: 12/15659-5
• Support Opportunities: Scholarships abroad - Research Internship - Doctorate
• Start date: March 01, 2013
• End date: February 28, 2014
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Denise de Mattos
• Grantee: Nelson Antonio Silva
• Supervisor: Waclaw Boleslaw Marzantowicz
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Institution abroad: Adam Mickiewicz University (AMU), Poland
• Associated to the scholarship: 11/23610-3 - Topological invariants of minimax problems with symmetry, BP.DR

Abstract

This project consists of the following 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-orientable 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 real function f, defined on compact manifolds, related to the critical points.(4)To study possible connections between equivariant category and Robotic Theory. (AU)

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)

KALUBA, MAREK; MARZANTOWICZ, WACLAW; SILVA, NELSON. ON REPRESENTATION OF THE REEB GRAPH AS A SUB-COMPLEX OF MANIFOLD. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, v. 45, n. 1, p. 287-307, MAR 2015. (12/15659-5)