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arXiv · 0803.1252

Contact surgeries and the transverse invariant in knot Floer homology

Peter Ozsvath·Andras Stipsicz
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Abstract

We study naturality properties of the transverse invariant in knot Floer homology under contact (+1)-surgery. This can be used as a calculational tool for the transverse invariant. As a consequence, we show that the Eliashberg-Chekanov twist knots E_n are not transversely simple for n odd and n>3.

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Peter Ozsvath, Andras Stipsicz. 2010-04-21. Contact surgeries and the transverse invariant in knot Floer homology. https://arxiv.org/abs/0803.1252

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