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arxiv: 0803.1252 · v3 · pith:I2BSLYPJnew · submitted 2008-03-08 · 🧮 math.SG · math.GT

Contact surgeries and the transverse invariant in knot Floer homology

classification 🧮 math.SG math.GT
keywords invarianttransversecontactfloerhomologyknotcalculationalconsequence
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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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