Zobrazeno 1 - 10
of 34
pro vyhledávání: '"Tosun, Bülent"'
We characterize when some small Seifert fibered spaces can be the convex boundary of a symplectic rational homology ball and give strong restrictions for others to bound such manifolds. As part of this, we show that the only spherical $3$-manifolds t
Externí odkaz:
http://arxiv.org/abs/2408.09292
Publikováno v:
Pacific J. Math. 330 (2024) 123-156
We consider homologically essential simple closed curves on Seifert surfaces of genus one knots in $S^3$, and in particular those that are unknotted or slice in $S^3$. We completely characterize all such curves for most twist knots: they are either p
Externí odkaz:
http://arxiv.org/abs/2307.04313
Autor:
Mark, Thomas, Tosun, Bülent
We consider the question of when the operation of contact surgery with positive surgery coefficient, along a knot $K$ in a contact 3-manifold $Y$, gives rise to a weakly fillable contact structure. We show that this happens if and only if $Y$ itself
Externí odkaz:
http://arxiv.org/abs/2301.10122
Autor:
Mark, Thomas E., Tosun, Bülent
We consider constraints on the topology of closed 3-manifolds that can arise as hypersurfaces of contact type in standard symplectic $R^4$. Using an obstruction derived from Heegaard Floer homology we prove that no Brieskorn homology sphere admits a
Externí odkaz:
http://arxiv.org/abs/2008.02755
Autor:
Etnyre, John B., Tosun, Bülent
In this paper, we collect various structural results to determine when an integral homology $3$--sphere bounds an acyclic smooth $4$--manifold, and when this can be upgraded to a Stein manifold. In a different direction we study whether smooth embedd
Externí odkaz:
http://arxiv.org/abs/2004.07405
Autor:
Conway, James, Tosun, Bülent
In this note, we prove that if the boundary of a Mazur-type $4$-manifold is an irreducible Heegaard Floer homology $L$-space, then the manifold must be the $4$-ball, and the boundary must be the $3$-sphere. We use this to give a new proof of Gabai's
Externí odkaz:
http://arxiv.org/abs/1807.08880
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 contact manifold for r in (0,1]. We also give obstructions for other positi
Externí odkaz:
http://arxiv.org/abs/1712.07287
Autor:
Mark, Thomas E., Tosun, Bülent
A conjecture due to Gompf asserts that no nontrivial Brieskorn homology sphere admits a pseudoconvex embedding in ${\mathbb C}^2$, with either orientation. A related question asks whether every compact contractible 4-manifold admits the structure of
Externí odkaz:
http://arxiv.org/abs/1603.07710
Autor:
Mark, Thomas E., Tosun, Bülent
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 the Heegaard Floer contact invariant of Y is mapped by a surgery cobo
Externí odkaz:
http://arxiv.org/abs/1509.01511
Autor:
Tosun, Bülent
In this note we study Legendrian and transverse knots in the knot type of a (p,q)-cable of a knot K in 3-sphere. We give two structural theorems that describe when the (p,q)-cable of a Legendrian simple knot type K is also Legendrian simple.
Com
Com
Externí odkaz:
http://arxiv.org/abs/1206.4953