Transverse Knots Distinguished by Knot Floer Homology
Geometric Topology
2010-03-15 v2 Symplectic Geometry
Abstract
We exhibit pairs of transverse knots with the same self-linking number that are not transversely isotopic, using the recently defined knot Floer homology invariant for transverse knots and some algebraic refinements of it.
Cite
@article{arxiv.math/0703446,
title = {Transverse Knots Distinguished by Knot Floer Homology},
author = {Lenhard Ng and Peter Ozsvath and Dylan Thurston},
journal= {arXiv preprint arXiv:math/0703446},
year = {2010}
}
Comments
Added explanations, corrected statement of Proposition 2