Differential Topology

For doctoral students; Semester 2, Thu. Period 3 · Graduate School of Science and Technology, Niigata University

Syllabus

Textbooks

• John W. Milnor, “Morse Theory”, Princeton University Press

Course contents

1. Review of Morse theory on finite-dimensional manifolds
2. Review of Riemannian geometry
3. Review of Morse theory on path spaces
4. Applications to Lie groups and symmetric spaces