Knots which admit a surgery with simple knot Floer homology groups

Eaman Eftekhary

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arXiv · 1003.3567

Knots which admit a surgery with simple knot Floer homology groups

Eaman Eftekhary

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Abstract

We show that if a positive integral surgery on a knot K inside a homology sphere X with Seifert genus g(K) results in an induced knot K_n in X_n(K)=Y which has simple Floer homology, we should have n>=2g(K). Moreover, if X is the standard sphere, the three-manifold Y is a L-space and the Heegaard Floer homology groups of K are determined by its Alexander polynomial.

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Eaman Eftekhary. 2010-03-18. Knots which admit a surgery with simple knot Floer homology groups. https://arxiv.org/abs/1003.3567

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