Topological combinatorial invariants of pseudomanifolds

• Grant number: 25/27744-7
• Support Opportunities: Scholarships abroad - Research Internship - Doctorate
• Start date: September 01, 2026
• End date: August 31, 2027
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Luiz Roberto Hartmann Junior
• Grantee: Gustavo de Oliveira Cardoso dos Santos
• Supervisor: Mauro Spreafico
• Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil
• Institution abroad: Universitá degli Studi di Trento, Italy
• Associated to the scholarship: 24/09236-1 - Combinatorial invariants on stratified spaces, BP.DR

Abstract

We propose to investigate topological combinatorial invariants such as the Reidemeister (or Whitehead) torsion, for Morse complexes associated to Morse functions on pseudomanifolds. We will explore a construction of such invariants for pseudomanidolds with positive-dimensional singular sets and for homotopically stratified spaces. (AU)