35 citations · 89 across the 16 of their papers we have counts for
15 papers · 1 filter
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…
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…
On the Stein framing number of a knot
Thomas E. Mark, Lisa Piccirillo, Faramarz Vafaee
For an integer , write for the 4-manifold obtained by attaching a 2-handle to the 4-ball along the knot with framing . It is known that if $n< \overli…
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…