Graduate course on Morse theory

Maciej Borodzik

University of Warsaw

General info



  • Lecture notes
  • Classes

    The key point to understand Morse theory is a deep knowledge of ordinary differential equations. By deep I don't mean any particular statement, but a rather a working knowledge of basics.
    Additionally, some knowledge of topology is helpful. You need to know what is a manifold, what is a tangent bundle, what is homotopy. It helps if you know what is a chain complex and what is singular homology.