196 citations · 1.4k across the 54 of their papers we have counts for
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math.GT2008★ 21 cited
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.
math.GT2008★ 12 cited
Slicing planar grid diagrams: a gentle introduction to bordered Heegaard Floer homology
Robert Lipshitz, Peter Ozsvath, Dylan Thurston
We describe some of the algebra underlying the decomposition of planar grid diagrams. This provides a useful toy model for an extension of Heegaard Floer homology to 3-manifolds wi…
math.GT2008★ 196 cited
Bordered Heegaard Floer homology: Invariance and pairing
Robert Lipshitz, Peter Ozsvath, Dylan Thurston
We construct Heegaard Floer theory for 3-manifolds with connected boundary. The theory associates to an oriented, parametrized two-manifold a differential graded algebra. For a thr…