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401-3584-25L 4 Credits BSC , DR , MSC D-MATH

Introduction to Floer Theory

Lecturers & Examiners: Dr. Jean-Philippe Chassé
VVZ CR n/a

Last Updated: 2026-06-01 11:33:19

Abstract

Since its introduction in the nineties, Floer homology has become a central tool of symplectic topology. Indeed, by incorporating Morse theory and previous ideas of Gromov and Witten, Floer has managed to prove the greatest conjecture in the field. Since then, the applications have only multiplied and have reached outside symplectic topology. This course aims to help students understand this tool.

Objective

Students are able to: -understand the idea of the construction of Floer homology in the simplest setting; -explain the main analytical problems encountered when doing the construction and solve some problems in Fredholm theory; -point out the difficulties in going beyond this simplest setting.

Content

Lecture mostly following the second half of Audin and Damian's book on the subject—see litterature section below. If time permits, we will explain how Floer theory can be expanded beyond the setting of the book.

Resources

Lecture Notes

None

Literature

M. Audin & M. Damian: Morse theory and Floer homology D. McDuff & D. Salamon: Introduction to symplectic topology

Learning Materials (Links)

General Information

Language
English
Levels
BSC , DR , MSC

Examination

Type
session examination
Mode
oral 20 minutes
The exam is only offered in the Summer 2025 examination session. No repetition exam.

Course Components

Type Title Time & Place Hours
lecture Introduction to Floer Theory
NOTICE: 2V instead of 3V Wed 16-18
  • Wed 16:15-18:00 (HG F 5)
2 h weekly

Offered In