VVZ API is not affiliated with ETH Zurich. Data might be outdated or incorrect. Please view the official ETHZ Vorlesungsverzeichnis for binding information.

401-5741-DRL 2 Credits DR D-MATH

Floer Homology of Three-Manifolds and Applications to Low Dimensional Topology

Lecturers & Examiners: Dr. Tomasz Mrowka
Doctoral students of I-Math (UZH) need to send an email to Jessica Bolsinger ( ) with the course number. The email should have the subject „Graduate course registration (ETH)“.
VVZ CR n/a

Last Updated: 2026-02-05 16:29:40

Abstract

Nachdiplom lecture

Content

Floer homology and the related invariants of 4-manifolds has given us deep insight in smooth differential topology in dimensions 3 and particularly 4. The theory has yielded insights like existence of exotic differentiable structures on 4-dimensional euclidean space, complex curves minimize genus in complex projective space, killing the Hauptvermutung, there even appear to be connections to the 4 color map theorem. This course will build up Floer homology of three-manifolds from scratch. The focus will be on Instanton Floer homology but we will mention other versions and develop applications as the course goes on.

General Information

Language
English
Levels
DR

Examination

Type
ungraded semester performance

Course Components

Type Title Time & Place Hours
lecture Floer Homology of Three-Manifolds and Applications to Low Dimensional Topology
If you would like to attend the lecture, please register by 22 September. For the registration form see
  • Mon 10:15-12:00 (HG G 43)
  • 23.09 Date 10:15-12:00 (HG G 19.2)
  • 30.09 Date 10:15-12:00 (HG G 19.2)
26 h semesterly

Offered In