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