695 citations · 2k across the 49 of their papers we have counts for
4 papers · 1 filter
A complete knot invariant from contact homology
Tobias Ekholm, Lenhard Ng, Vivek Shende
We construct an enhanced version of knot contact homology, and show that we can deduce from it the group ring of the knot group together with the peripheral subgroup. In particular…
Borel version of the Local Lemma
Endre Csóka, Łukasz Grabowski, András Máthé +2
We prove a Borel version of the local lemma, i.e. we show that, under suitable assumptions, if the set of variables in the local lemma has a structure of a Borel space, then there…
The conormal torus is a complete knot invariant
Vivek Shende
We use microlocal sheaf theory to show that if two knots have Legendrian isotopic conormal tori, then the knots are isotopic or mirror images.
On the combinatorics of exact Lagrangian surfaces
Vivek Shende, David Treumann, Harold Williams
We study Weinstein 4-manifolds which admit Lagrangian skeleta given by attaching disks to a surface along a collection of simple closed curves. In terms of the curves describing on…