Zobrazeno 1 - 10
of 119
pro vyhledávání: '"Ozbagci, Burak"'
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
Autor:
Ozbagci, Burak
We prove a simple necessary and sufficient condition for a two-bridge knot K(p,q) to be quasipositive, based on the continued fraction expansion of p/q. As an application, coupled with some classification results in contact and symplectic topology, w
Externí odkaz:
http://arxiv.org/abs/2307.07179
Autor:
Bhupal, Mohan, Ozbagci, Burak
In a previous work, we proved that each minimal symplectic filling of any oriented lens space, viewed as the singularity link of some cyclic quotient singularity and equipped with its canonical contact structure, can be obtained from the minimal reso
Externí odkaz:
http://arxiv.org/abs/2209.03193
Autor:
Bhupal, Mohan, Ozbagci, Burak
In a previous work, we constructed a planar Lefschetz fibration on each Stein filling of any lens space equipped with its canonical contact structure. Here we describe an algorithm to draw an unbraided wiring diagram whose associated planar Lefschetz
Externí odkaz:
http://arxiv.org/abs/2202.09117
Autor:
Onaran, Sinem, Ozbagci, Burak
Publikováno v:
Geom. Dedicata 216 (2022), no. 1, Paper No. 4, 6 pp
We show that there exists an admissible nonorientable genus $g$ Lefschetz fibration with only one singular fiber over a closed orientable surface of genus $h$ if and only if $g \geq 4$ and $h \geq 1$.
Comment: Final version to appear in Geometri
Comment: Final version to appear in Geometri
Externí odkaz:
http://arxiv.org/abs/2110.08759
Autor:
Dehornoy, Pierre, Ozbagci, Burak
Suppose that $\Sigma$ is a closed and oriented surface equipped with a Riemannian metric. In the literature, there are three seemingly distinct constructions of open books on the unit (co)tangent bundle of $\Sigma$, having complex, contact, and dynam
Externí odkaz:
http://arxiv.org/abs/2105.04814
Autor:
Miller, Maggie, Ozbagci, Burak
Publikováno v:
Pacific J. Math. 312 (2021) 177-202
Let $W$ be a nonorientable $4$-dimensional handlebody without $3$- and $4$-handles. We show that $W$ admits a Lefschetz fibration over the $2$-disk, whose regular fiber is a nonorientable surface with nonempty boundary. This is an analogue of a resul
Externí odkaz:
http://arxiv.org/abs/2012.04253
Publikováno v:
Journal of Symplectic Geometry 21 (2023), no. 4, 638-721
Iterated planar contact manifolds are a generalization of three dimensional planar contact manifolds to higher dimensions. We study some basic topological properties of iterated planar contact manifolds and discuss several examples and constructions
Externí odkaz:
http://arxiv.org/abs/2006.02940
Autor:
Ozbagci, Burak
Publikováno v:
Period. Math. Hungar. 84 (2022), no. 1, 56-69
We show that the monodromy of Klassen's genus two open book for $P^2 \times S^1$ is the $Y$-homeomorphism of Lickorish, which is also known as the crosscap slide. Similarly, we show that $S^2 \widetilde{\times} S^1$ admits a genus two open book whose
Externí odkaz:
http://arxiv.org/abs/2004.08173
Autor:
Ozbagci, Burak
Publikováno v:
Arch. Math. (Basel) 113 (2019), no. 6, 661-670 and 671-672
In 1998, Gompf described a Stein domain structure on the disk cotangent bundle of any closed surface S, by a Legendrian handlebody diagram. We prove that Gompf's Stein domain is symplectomorphic to the disk cotangent bundle equipped with its canonica
Externí odkaz:
http://arxiv.org/abs/1809.05279