Zobrazeno 1 - 10
of 32
pro vyhledávání: '"Arikan, M. Firat"'
Autor:
Arikan, M. Firat
We introduce a ''folded sum operation'' which glues two compact mapping tori along their common (diffeomorphic) boundaries. We call the resulting closed manifold a ''folded sum of mapping tori'', and it naturally fibers over the circle. We show that
Externí odkaz:
http://arxiv.org/abs/2312.05823
Autor:
Yildirim, Yasemin, Arikan, M. Firat
For more than two decades it has been known that any compact Stein surface (of real dimension four) admits a compatible Lefschetz fibration over a two-disk. More recently, Giroux and Pardon have generalized this result by giving a complex geometric p
Externí odkaz:
http://arxiv.org/abs/2310.15700
Autor:
Taspinar, I. Ozge, Arikan, M. Firat
Using square bridge position, Akbulut-Ozbagci and later Arikan gave algorithms both of which construct an explicit compatible open book decomposition on a closed contact $3$-manifold which results from a contact $(\pm 1)$-surgery on a Legendrian link
Externí odkaz:
http://arxiv.org/abs/2303.08603
Autor:
Arikan, M. Firat, Ersen, Ozlem
We introduce a new Legendrian isotopy invariant for any closed orientable Legendrian surface $L$ embedded in a closed contact $5$-manifold $(M, \xi)$ which admits an "admissable" open book $(B, f)$ (supporting $\xi$) for $L$. We show that to any such
Externí odkaz:
http://arxiv.org/abs/2104.05086
Autor:
Akbulut, Selman, Arikan, M. Firat
We study Legendrian embeddings of a compact Legendrian submanifold $L$ sitting in a closed contact manifold $(M,\xi)$ whose contact structure is supported by a (contact) open book $\mathcal{OB}$ on $M$. We prove that if $\mathcal{OB}$ has Weinstein p
Externí odkaz:
http://arxiv.org/abs/1702.07415
Autor:
Arikan, M. Firat, Secgin, Merve
Publikováno v:
Topology Appl. 231 (2017)
We show the existence of tight contact structures on infinitely many hyperbolic three-manifolds obtained via Dehn surgeries along sections of hyperbolic surface bundles over circle.
Comment: 9 pages, 7 figures, corrections made
Comment: 9 pages, 7 figures, corrections made
Externí odkaz:
http://arxiv.org/abs/1610.03787
Autor:
Arikan, M. Firat
We consider certain type of fiber bundles with odd dimensional compact contact base, exact symplectic fibers, and the structure group contained in the group of exact symplectomorphisms of the fiber. We call such fibrations "contact symplectic fibrati
Externí odkaz:
http://arxiv.org/abs/1403.5155
Autor:
Akbulut, Selman, Arikan, M. Firat
Publikováno v:
Forum Math. 27 (2015)
In this paper, we study compact convex Lefschetz fibrations on compact convex symplectic manifolds (i.e., Liouville domains) of dimension $2n+2$ which are introduced by Seidel and later also studied by McLean. By a result of Akbulut-Arikan, the open
Externí odkaz:
http://arxiv.org/abs/1211.5050
We show that there exist infinitely many pairwise distinct non-closed G_2-manifolds (some of which have holonomy full G_2) such that they admit co-oriented contact structures and have co-oriented contact submanifolds which are also associative. Along
Externí odkaz:
http://arxiv.org/abs/1207.2046
Publikováno v:
Asian J. Math. 17 (2013)
In this paper, we show the existence of (co-oriented) contact structures on certain classes of $G_2$-manifolds, and that these two structures are compatible in certain ways. Moreover, we prove that any seven-manifold with a spin structure (and so any
Externí odkaz:
http://arxiv.org/abs/1112.2951