Contact surgeries and the transverse invariant in knot Floer homology

Details Contact surgeries and the transverse invariant in knot Floer homology Contact surgeries and the transverse invariant in knot Floer homology

2008-03-08

arxiv.org/abs/0803.1252v3

Mathematics

Symplectic Geometry

Corrected naturality discussion.

Scientific paper

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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