Summer School 2024 - Low dimensional Topology

Collection Summer School 2024 - Low dimensional Topology

Organizer(s) Scientific Committee: Greg Kuperberg, Christine Lescop, Gwénaël Massuyeau, Jean-Baptiste Meilhan / Organization Committee: Christine Lescop, Gwénaël Massuyeau, Jean-Baptiste Meilhan

Date(s) 17/06/2024 - 05/07/2024

linked URL https://if-summer2024.sciencesconf.org

00:00:00 / 00:00:00

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Introduction to Heegaard-Floer homology 4

By Paolo Ghiggini

Heegaard Floer homology is a powerful invariant of three manifolds introduced by Ozsváth and Szabó. In my course I will give an overview of its definition and of some of its properties following Lipshitz's "cylindrical reformulation" rather than Ozsvàth and Szabó's original presentation. Since this course is meant to be an introduction to Golla's and Watson's courses of the second week, the focus will be on foundations rather than applications. The approximate plan of the lecture is:1. Overview and topological preliminaries2. Definition of the Heegaard Floer chain complexes3. Definition of the cobordism maps4. Surgery exact sequence and computations

Information about the video

Date of recording 21/06/2024
Date of publication 07/01/2026
Institution Institut Fourier
Licence CC BY NC ND
Language English
Format MP4

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