3 papers
math.GT2019
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…
math.SG2018
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…
math.GT2018
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…