Contact surgeries and the transverse invariant in knot Floer homology

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 En are not transversely simple for n odd and n>3.

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