67 citations · 673 across the 38 of their papers we have counts for
16 papers · 1 filter
On transverse invariants from Khovanov homology
Robert Lipshitz, Lenhard Ng, Sucharit Sarkar
O. Plamenevskaya associated to each transverse knot K an element of the Khovanov homology of K. In this paper, we give two refinements of Plamenevskaya's invariant, one valued in B…
A topological introduction to knot contact homology
Lenhard Ng
This is a survey of knot contact homology, with an emphasis on topological, algebraic, and combinatorial aspects.
Grid Diagrams, Braids, and Contact Geometry
Lenhard Ng, Dylan Thurston
We use grid diagrams to present a unified picture of braids, Legendrian knots, and transverse knots.
A family of transversely nonsimple knots
Tirasan Khandhawit, Lenhard Ng
We apply knot Floer homology to exhibit an infinite family of transversely nonsimple prime knots starting with . We also discuss the combinatorial relationship between gr…
A skein approach to Bennequin type inequalities
Lenhard Ng
We give a simple unified proof for several disparate bounds on Thurston-Bennequin number for Legendrian knots and self-linking number for transverse knots in R^3, and provide a tem…
Transverse Knots Distinguished by Knot Floer Homology
Lenhard Ng, Peter Ozsvath, Dylan Thurston
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 k…