Combinatorial invariants on stratified spaces

• Grant number: 24/09236-1
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: October 01, 2024
• End date: July 31, 2028
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Luiz Roberto Hartmann Junior
• Grantee: Gustavo de Oliveira Cardoso dos Santos
• Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil
• Associated research grant: 22/16455-6 - Algebraic, geometric, and differential topology, AP.TEM

Abstract

We propose to investigate combinatorial invariants such as, for example, the Reidemeister (or Whitehead) Torsion, for pseudomanifolds with positive-dimensional singular sets. We will then explore a construction of such invariants for homotopically stratified manifolds.