VVZ API is not affiliated with ETH Zurich. Data might be outdated or incorrect. Please view the official ETHZ Vorlesungsverzeichnis for binding information.
Last Updated: 2026-02-05 16:37:24
Abstract
This is an introductory course on modern Morse theory. We will introduce Morse functions, Morse complex and Morse homology for closed manifolds. We will show invariance properties of the Morse complex and look at applications like Poincare duality.We will try to follow and cover Part I of "Morse theory and Floer homology" by Michèle Audin and Mihai Damian.
Objective
To gain familiarity about Morse functions and understanding of main steps in developing a homology theory.
Resources
Literature
- Morse Theory and Floer Homology, by Michèle Audin and Mihai Damian (Springer) - Morse Theory, by John Milnor (Princeton University Press)
Learning Materials (Links)
- Additional links
- Course website
General Information
- Language
- English
- Levels
- BSC , MSC
Examination
- Type
- session examination
- Mode
- oral 20 minutes
Course Components
| Type | Title | Time & Place | Hours |
|---|---|---|---|
| lecture | Morse Homology |
|
3 h weekly |
Offered In
-
-
-
-
Electives (For the Master's degree in Applied Mathematics the following additional condition (not manifest in myStudies) must be obeyed: At least 14 of the required 26 credits from core courses and electives must be acquired in areas of applied mathematics and further application-oriented fields.)
-
-