Journal of Symplectic Geometry
Volume 6 (2008)
Transverse knots distinguished by knot Floer homology
Pages: 461 – 490
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.
Published 1 January 2008