Department of Mathematics

Heegaard Floer Homology

Please note that this page is old.
Check in the VVZ for a current information.
Organizers Prof. Norbert A'Campo (Basel)
Prof. Anna Beliakova (Uni Zurich)
Dr. Alexandru Oancea (ETHZ)
Prof. Dietmar Salamon (ETHZ)
Stephan Wehrli (Basel)
Location HG E 33.5
Time Wednesday 16:15-18:00 or 17:15-19:00 (to be confirmed)
Starts on October 20, 2004
Contact Alexandru Oancea (
Description Peter Ozsvath and Zoltan Szabo recently constructed a Floer homology theory leading to invariants of 3-manifolds and knots. They exploit the existence of Heegaard decompositions, i.e. the possibility to write any 3-manifold as a
union of two handlebodies glued along their common boundary, in order to give a geometric counterpart of Seiberg-Witten theory.

Although the precise relationship between these theories is still unknown, the main applications of Seiberg-Witten invariants were indeed reproduced in the Ozsvath-Szabo setting. The aim of our seminar is to understand the Ozsvath-Szabo construction. We intend to give a comprehensive introduction to its main
building blocks: Lagrangian Floer homology and Gromov's theory of pseudo-holomorphic disks. A further seminar devoted to applications of Ozsvath and Szabo's theory to low dimensional topology and, in particular, to its relationship with Khovanov homology is planned for SS05.

Diploma-, Master- and Ph.D. students interested in modern developments of low dimensional topology and symplectic geometry are kindly invited to join our seminar. Basic knowledge in these fields would be an advantage.

References 1. Ozsvath, P., Szabo, Z.: Holomorphic disks and topological invariants for closed three-manifolds, to appear in Annals of Math., arXiv: math.SG/0101206

2. Ozsvath, P., Szabo, Z.: Holomorphic disks and three-manifold invariants: properties and applications, to appear in Annals of Math., arXiv:math.SG/0105202

3. (survey paper) Ozsvath, P., Szabo, Z.: Heegaard diagrams amd holomorphic disks,
Additional Information See for a list of the talks.

Wichtiger Hinweis:
Diese Website wird in älteren Versionen von Netscape ohne graphische Elemente dargestellt. Die Funktionalität der Website ist aber trotzdem gewährleistet. Wenn Sie diese Website regelmässig benutzen, empfehlen wir Ihnen, auf Ihrem Computer einen aktuellen Browser zu installieren. Weitere Informationen finden Sie auf
folgender Seite.

Important Note:
The content in this site is accessible to any browser or Internet device, however, some graphics will display correctly only in the newer versions of Netscape. To get the most out of our site we suggest you upgrade to a newer browser.
More information

© 2016 Mathematics Department | Imprint | Disclaimer | 10 February 2005