4 citations · 4 across the 3 of their papers we have counts for
5 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…
Obstructing pseudoconvex embeddings and contractible Stein fillings for Brieskorn spheres
Thomas E. Mark, Bülent Tosun
A conjecture due to Gompf asserts that no nontrivial Brieskorn homology sphere admits a pseudoconvex embedding in , with either orientation. A related question asks…
Naturality of Heegaard Floer invariants under positive rational contact surgery
Thomas E. Mark, Bülent Tosun
For a nullhomologous Legendrian knot in a closed contact 3-manifold Y we consider a contact structure obtained by positive rational contact surgery. We prove that in this situation…