Introduction to the Morse Theory

• Grant number: 22/08949-9
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: September 01, 2022
• End date: August 31, 2024
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Luiz Roberto Hartmann Junior
• Grantee: Matheus Henrique Ferreira de Melo 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: 16/24707-4 - Algebraic, geometric and differential topology, AP.TEM

Abstract

We propose an introductory study of Morse Theory through basic Differential Topology in order to demonstrate the fundamental results of the theory, such as the existence of Morse functions in compact manifolds.(AU)