NOTE ON OVERTWISTED CONTACT STRUCTURES

Date

2011-03-01

Author

Yılmaz, Elif

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

235
views

0
downloads

In this note, we use the recent work of Honda-Kazez-Matic [3] to prove that a closed contact 3-manifold admitting a compatible open book decomposition with a nontrivial monodromy which can be presented as a product of left handed Dehn twists is overtwisted.

Subject Keywords

General Mathematics

URI

https://hdl.handle.net/11511/46204

Journal

STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA

DOI

https://doi.org/10.1556/sscmath.2009.1154

Collections

Department of Mathematics, Article

Suggestions

OpenMETU
Core

Invariants of Legendrian Knots from Open Book Decompositions Onaran, Sinem Celik (Oxford University Press (OUP), 2010-01-01) In this note, we define a new invariant of a Legendrian knot in a contact 3-manifold using an open book decomposition supporting the contact structure. We define the support genus sg(L) of a Legendrian knot L in a contact 3-manifold (M, xi) as the minimal genus of a page of an open book of M supporting the contact structure xi such that L sits on a page and the framings given by the contact structure and the page agree. We show that any null-homologous loose knot in an overtwisted contact structure has supp...
A generic identification theorem for groups of finite Morley rank Berkman, A; Borovik, AV (Wiley, 2004-02-01) The paper contains a final identification theorem for the 'generic' K*-groups of finite Morley rank.
NONCOMMUTATIVE MACKEY THEOREM Dosi, Anar (World Scientific Pub Co Pte Lt, 2011-04-01) In this note we investigate quantizations of the weak topology associated with a pair of dual linear spaces. We prove that the weak topology admits only one quantization called the weak quantum topology, and that weakly matrix bounded sets are precisely the min-bounded sets with respect to any polynormed topology compatible with the given duality. The technique of this paper allows us to obtain an operator space proof of the noncommutative bipolar theorem.
On entire rational maps of real surfaces Ozan, Yıldıray (The Korean Mathematical Society, 2002-01-01) In this paper, we define for a component X-0 of a nonsingular compact real algebraic surface X the complex genus of X-0, denoted by g(C)(X-0), and use this to prove the nonexistence of nonzero degree entire rational maps f : X-0 --> Y provided that g(C)(Y) > g(C)(X-0), analogously to the topological category. We construct connected real surfaces of arbitrary topological genus with zero complex genus.
On the monodromy of Milnor open books ALTINOK BHUPAL, SELMA; Bhupal, Mohan Lal (The Scientific and Technological Research Council of Turkey, 2018-01-01) We present some techniques that can be used to factorize the monodromy of certain Milnor open books. We also describe a class of Milnor open books for which we can explicitly express the monodromy as a product of Dehn twists.

Citation Formats

E. Yılmaz, “NOTE ON OVERTWISTED CONTACT STRUCTURES,” STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, pp. 130–134, 2011, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/46204.