50 citations · 405 across the 46 of their papers we have counts for
5 papers · 1 filter
Obstructions to Lagrangian concordance
Christopher R. Cornwell, Lenhard Ng, Steven Sivek
We investigate the question of the existence of a Lagrangian concordance between two Legendrian knots in . In particular, we give obstructions to a concordance from a…
Contact structures and reducible surgeries
Tye Lidman, Steven Sivek
We apply results from both contact topology and exceptional surgery theory to study when Legendrian surgery on a knot yields a reducible manifold. As an application, we show that a…
Instanton Floer homology and contact structures
John A. Baldwin, Steven Sivek
We define an invariant of contact 3-manifolds with convex boundary using Kronheimer and Mrowka's sutured instanton Floer homology theory. To the best of our knowledge, this is the…
Invariants of Legendrian and transverse knots in monopole knot homology
John A. Baldwin, Steven Sivek
We use the contact invariant defined in [2] to construct a new invariant of Legendrian knots in Kronheimer and Mrowka's monopole knot homology theory (KHM), following a prescriptio…
A contact invariant in sutured monopole homology
John A. Baldwin, Steven Sivek
We define an invariant of contact 3-manifolds with convex boundary using Kronheimer and Mrowka's sutured monopole Floer homology theory (SHM). Our invariant can be viewed as a gene…