50 citations · 471 across the 44 of their papers we have counts for
11 papers · 1 filter
Stein fillings and SU(2) representations
John A. Baldwin, Steven Sivek
We recently defined invariants of contact 3-manifolds using a version of instanton Floer homology for sutured manifolds. In this paper, we prove that if several contact structures…
On the equivalence of contact invariants in sutured Floer homology theories
John A. Baldwin, Steven Sivek
We recently defined an invariant of contact manifolds with convex boundary in Kronheimer and Mrowka's sutured monopole Floer homology theory. Here, we prove that there is an isomor…
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…
Admissible transverse surgery does not preserve tightness
John A. Baldwin, John B. Etnyre
We produce the first examples of closed, tight contact 3-manifolds which become overtwisted after performing admissible transverse surgeries. Along the way, we clarify the relation…