Instanton Floer homology for two-component links

Details Instanton Floer homology for two-component links Instanton Floer homology for two-component links

2010-01-22

arxiv.org/abs/1001.4065v2

Mathematics

Geometric Topology

10 pages, 4 figures; updated to clarify relation to the Kronheimer-Mrowka KHI theory

Scientific paper

For any link of two components in an integral homology sphere, we define an instanton Floer homology whose Euler characteristic is the linking number between the components of the link. We relate this Floer homology to the Kronheimer-Mrowka instanton Floer homology of knots. We also show that, for two-component links in the 3-sphere, the Floer homology does not vanish unless the link is split.

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