35 citations · 89 across the 16 of their papers we have counts for
20 papers
On Weinstein domains in symplectic manifolds
Thomas E. Mark, Bülent Tosun
We prove that a Weinstein domain symplectically embedded in a closed symplectic manifold always admits symplectic hypersurfaces in its complement, possibly after a deformation. As…
Fillable contact structures from positive surgery
Thomas Mark, Bülent Tosun
We consider the question of when the operation of contact surgery with positive surgery coefficient, along a knot in a contact 3-manifold , gives rise to a weakly fillable c…
On contact type hypersurfaces in 4-space
Thomas E. Mark, Bülent Tosun
We consider constraints on the topology of closed 3-manifolds that can arise as hypersurfaces of contact type in standard symplectic . Using an obstruction derived from Heegaa…
Cylindrical contact homology of 3-dimensional Brieskorn manifolds
Sebastian Haney, Thomas E. Mark
Cylindrical contact homology is a comparatively simple incarnation of symplectic field theory whose existence and invariance under suitable hypotheses was recently established by H…
Exotic Mazur manifolds and knot trace invariants
Kyle Hayden, Thomas E. Mark, Lisa Piccirillo
From a handlebody-theoretic perspective, the simplest compact, contractible 4-manifolds, other than the 4-ball, are Mazur manifolds. We produce the first pairs of Mazur manifolds t…
Irreducible 3-manifolds that cannot be obtained by 0-surgery on a knot
Matthew Hedden, Min Hoon Kim, Thomas E. Mark +1
We give two infinite families of examples of closed, orientable, irreducible 3-manifolds such that and has weight 1, but is not the result of Dehn surge…