Heegaard Splittings and Seiberg-Witten monopoles

Details Heegaard Splittings and Seiberg-Witten monopoles Heegaard Splittings and Seiberg-Witten monopoles

2004-09-27

arxiv.org/abs/math/0409536v2

Mathematics

Geometric Topology

30 pages. typos corrected and minor clarification in section 3.1

Scientific paper

This is an expansion on my talk at the Geometry and Topology conference at McMaster University, May 2004. We outline a program to relate the Heegaard Floer homologies of Ozsvath-Szabo, and Seiberg-Witten-Floer homologies as defined by Kronheimer-Mrowka. The center-piece of this program is the construction of an intermediate version of Floer theory, which exhibits characteristics of both theories.

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