Lectures on Morse theory, old and new

1982/01/01 by Raoul Bott · 4 citations
Computer Science · Mathematics · #Topological and Geometric Data Analysis #Morse code #Mathematics #Computer science #Telecommunications

paper · pdf · doi:10.1090/s0273-0979-1982-15038-8

openalex publication_date 1982/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/07

Abstract

Morse Theory is a beautiful and natural extension of the minimum principle for a continuous function on a compact space. In these lectures I would like to discuss it in the context of two problems in analysis which have self-evident geometric interest as well as physical origins.

Citations

• On the cohomology groups of moduli spaces of vector bundles on curves
• Differentiable dynamical systems

Cited by

• Noncontractible periodic orbits in cotangent bundles and Floer homology
• Non-Equilibrium Thermodynamics and Topology of Currents
• Stability of kink defects in a deformed O(3) linear sigma model
• Morse theory [wikipedia]