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arXiv · 1001.4065

Instanton Floer homology for two-component links

Eric Harper·Nikolai Saveliev
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Abstract

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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Eric Harper, Nikolai Saveliev. 2011-09-25. Instanton Floer homology for two-component links. https://arxiv.org/abs/1001.4065

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