Zobrazeno 1 - 10
of 62
pro vyhledávání: '"Onaran, Sinem"'
We classify Legendrian realisations, up to coarse equivalence, of the Hopf link in the lens spaces L(p,1) with any contact structure.
Comment: 28 pages, 15 figures
Comment: 28 pages, 15 figures
Externí odkaz:
http://arxiv.org/abs/2409.02582
Autor:
Baker, Kenneth L., Onaran, Sinem
Every null-homologous link in an oriented 3-manifold is isotopic to the boundary of a ribbon of a Legendrian graph for any overtwisted contact structure. However this is not the case if the boundary is required to be non-loose. Here, we define the `T
Externí odkaz:
http://arxiv.org/abs/2307.06828
Autor:
Li, Youlin, Onaran, Sinem
In this paper, we give a complete coarse classification of strongly exceptional Legendrian realizations of connected sum of two Hopf links in contact 3-spheres. These are the first classification results about exceptional Legendrian representatives f
Externí odkaz:
http://arxiv.org/abs/2307.00447
Autor:
Kegel, Marc, Onaran, Sinem
Publikováno v:
Bull. Aust. Math. Soc., 107 (2023), 146--157
We define a graph encoding the structure of contact surgery on contact 3-manifolds and analyze its basic properties and some of its interesting subgraphs.
Comment: 11 pages, 3 figures
Comment: 11 pages, 3 figures
Externí odkaz:
http://arxiv.org/abs/2201.03505
It is known that any contact 3-manifold can be obtained by rational contact Dehn surgery along a Legendrian link L in the standard tight contact 3-sphere. We define and study various versions of contact surgery numbers, the minimal number of componen
Externí odkaz:
http://arxiv.org/abs/2201.00157
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:
Onaran, Sinem, Öztürk, Ferit
We classify the real tight contact structures on solid tori up to equivariant contact isotopy and apply the results to the classification of real tight structures on $S^3$ and real lens spaces $L(p,\pm 1)$. We prove that there is a unique real tight
Externí odkaz:
http://arxiv.org/abs/2104.06241
Autor:
Onaran, Sinem
In this paper, we show that any topological knot or link in $S^1 \times S^2$ sits on a planar page of an open book decomposition whose monodromy is a product of positive Dehn twists. As a consequence, any knot or link type in $S^1 \times S^2$ has a L
Externí odkaz:
http://arxiv.org/abs/2005.04173
Autor:
Anderson, Chris, Baker, Kenneth L., Gao, Xinghua, Kegel, Marc, Le, Khanh, Miller, Kyle, Onaran, Sinem, Sangston, Geoffrey, Tripp, Samuel, Wood, Adam, Wright, Ana
In Dunfield's catalog of the hyperbolic manifolds in the SnapPy census which are complements of L-space knots in $S^3$, we determine that $22$ have tunnel number $2$ while the remaining all have tunnel number $1$. Notably, these $22$ manifolds contai
Externí odkaz:
http://arxiv.org/abs/1909.00790
Autor:
Geiges, Hansjörg, Onaran, Sinem
Publikováno v:
Q. J. Math. 71 (2020), 1419-1459
We completely classify Legendrian realisations of the Hopf link, up to coarse equivalence, in the 3-sphere with any contact structure.
Comment: 36 pages, 18 figures
Comment: 36 pages, 18 figures
Externí odkaz:
http://arxiv.org/abs/1907.06489