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December 2008 Transverse knots distinguished by knot Floer homology
Lenhard Ng, Peter Ozsváth, Dylan Thurston
J. Symplectic Geom. 6(4): 461-490 (December 2008).

Abstract

We use the recently defined knot Floer homology invariant for transverse knots to show that certain pairs of transverse knots with the same self-linking number are not transversely isotopic. We also show that some of the algebraic refinements of knot Floer homology lead to refined versions of these invariants, distinguishing additional transversely non-isotopic knots with the same self-linking number.

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Lenhard Ng. Peter Ozsváth. Dylan Thurston. "Transverse knots distinguished by knot Floer homology." J. Symplectic Geom. 6 (4) 461 - 490, December 2008.

Information

Published: December 2008
First available in Project Euclid: 15 January 2009

zbMATH: 1173.57007
MathSciNet: MR2471100

Rights: Copyright © 2008 International Press of Boston

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Vol.6 • No. 4 • December 2008
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