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arXiv:math/0703446 [math.GT]AbstractReferencesReviewsResources

Transverse Knots Distinguished by Knot Floer Homology

Lenhard Ng, Peter Ozsvath, Dylan Thurston

Published 2007-03-15, updated 2008-09-29Version 2

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.

Comments: Added explanations, corrected statement of Proposition 2
Journal: Journal of Symplectic Geometry, 6:461-490, 2008
Categories: math.GT, math.SG
Subjects: 57R17, 57R58, 57M25
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