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401-3582-DRL 2 Credits DR D-MATH

Morse Homology

Lecturers & Examiners: Dr. Ipsita Datta

Only for ZGSM (ETH D-MATH and UZH I-MATH) doctoral students. The latter need to register at myStudies and then send an email to with their name, course number and student ID. Please see

VVZ CR n/a

Last Updated: 2026-02-05 16:37:27

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: DR

Examination

Type: ungraded semester performance

Registration & Places

Priority: Registration for the course unit is only possible for the primary target group

Course Components

Type	Title	Time & Place	Hours
lecture	Morse Homology	Tue 10:15-12:00 (CHN E 42) Fri 13:15-14:00 (CHN E 42)	3 h weekly

Offered In

Doctorate Mathematics (More Information at: )
- Subject Specialisation (The list of courses (together with the allocated credit points) eligible for doctoral students is published each semester in the newsletter of the ZGSM.)
  - Graduate School (Official website of the Zurich Graduate School in Mathematics: )