11 citations · 29 across the 6 of their papers we have counts for
8 papers
Classification of tight contact structures on surgeries on the figure-eight knot
James Conway, Hyunki Min
Two of the basic questions in contact topology are which manifolds admit tight contact structures, and on those that do, can we classify such structures. We present the first such…
Contact surgery and symplectic caps
James Conway, John B. Etnyre
In this note we show that a closed oriented contact manifold is obtained from the standard contact sphere of the same dimension by contact surgeries on isotropic and coisotropic sp…
Mazur-type manifolds with -space boundaries
James Conway, Bülent Tosun
In this note, we prove that if the boundary of a Mazur-type -manifold is an irreducible Heegaard Floer homology -space, then the manifold must be the -ball, and the bounda…
Symplectic fillings, contact surgeries, and Lagrangian disks
James Conway, John B. Etnyre, Bülent Tosun
This paper completely answers the question of when contact (r)-surgery on a Legendrian knot in the standard contact structure on the 3-sphere yields a symplectically fillable conta…
Contact Surgeries on the Legendrian Figure-Eight Knot
James Conway
We show that all positive contact surgeries on every Legendrian figure-eight knot in result in an overtwisted contact structure. The proof uses convex surface…
Tight Contact Structures via Admissible Transverse Surgery
James Conway
We investigate the line between tight and overtwisted for surgeries on fibred transverse knots in contact 3-manifolds. When the contact structure is supported by the fibred k…
Transverse Surgery on Knots in Contact 3-Manifolds
James Conway
We study the effect of surgery on transverse knots in contact 3-manifolds. In particular, we investigate the effect of such surgery on open books, the Heegaard Floer contact invari…
Tight Planar Contact Manifolds with Vanishing Heegaard Floer Contact Invariants
James Conway, Amey Kaloti, Dheeraj Kulkarni
In this note, we exhibit infinite families of tight non-fillable contact manifolds supported by planar open books with vanishing Heegaard Floer contact invariants. Moreover, we als…