On Legendrian embbeddings into open book decompositions

Download

index.pdf

Date

2019-01-01

Author

Akbulut, Selman
Arikan, M. Firat

Metadata

Show full item record

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

Item Usage Stats

103
views

0
downloads

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 OB on M. We prove that if OB has Weinstein pages, then there exist a contact structure xi' on M, isotopic to xi and supported by OB, and a contactomorphism f:(M, xi) -> (M, xi') such that the image f(L) of any such submanifold can be Legendrian isotoped so that it becomes disjoint from the closure of a page of OB.

Subject Keywords

General Mathematics

URI

https://hdl.handle.net/11511/65405

Journal

ARKIV FOR MATEMATIK

DOI

https://doi.org/10.4310/arkiv.2019.v57.n2.a1

Collections

Department of Mathematics, Article

Suggestions

OpenMETU
Core

On the Krall-type polynomials on q-quadratic lattices Alvarez-Nodarse, R.; Adiguzel, R. Sevinik (Elsevier BV, 2011-08-01) In this paper, we study the Krall-type polynomials on non-uniform lattices. For these polynomials the second order linear difference equation, q-basic series representation and three-term recurrence relations are obtained. In particular, the q-Racah-Krall polynomials obtained via the addition of two mass points to the weight function of the non-standard q-Racah polynomials at the ends of the interval of orthogonality are considered in detail. Some important limit cases are also discussed. (C) 2011 Royal Net...
ON THE STRUCTURE OF GENERALIZED ALBANESE VARIETIES ONSIPER, H (Cambridge University Press (CUP), 1992-03-01) Given a smooth projective surface X over an algebraically closed field k and a modulus (an effective divisor) m on X, one defines the idle class group Cm(X) of X with modulus m (see 1, chapter III, section 4). The corresponding generalized Albanese variety Gum and the generalized Albanese map um:X|m|Gum have the following universal mapping property (2): if :XG is a rational map into a commutative algebraic group which induces a homomorphism Cm(X)G(k) (1, chapter III, proposition 1), then factors uniquely th...
ON THE CLASSIFICATION OF CERTAIN PLANAR CONTACT STRUCTURES Arıkan, Mehmet Fırat (Springer Science and Business Media LLC, 2012-03-01) We focus on contact structures supported by planar open book decompositions. We study right-veering diffeomorphisms to keep track of overtwistedness property of contact structures under some monodromy changes. As an application we give infinitely many examples of overtwisted contact structures supported by open books whose pages are the four-punctured sphere, and also we prove that a certain family is Stein fillable using lantern relation.
On the moduli of surfaces admitting genus 2 fibrations Onsiper, H; Tekinel, C (Springer Science and Business Media LLC, 2002-12-01) We investigate the structure of the components of the moduli space Of Surfaces of general type, which parametrize surfaces admitting nonsmooth genus 2 fibrations of nonalbanese type, over curves of genus g(b) greater than or equal to 2.
On the sequential order continuity of the C(K)-space Ercan, Z.; Onal, S. (Springer Science and Business Media LLC, 2007-03-01) As shown in [1], for each compact Hausdorff space K without isolated points, there exists a compact Hausdorff P'-space X but not an F-space such that C(K) is isometrically Riesz isomorphic to a Riesz subspace of C(X). The proof is technical and depends heavily on some representation theorems. In this paper we give a simple and direct proof without any assumptions on isolated points. Some generalizations of these results are mentioned.

Citation Formats

S. Akbulut and M. F. Arikan, “On Legendrian embbeddings into open book decompositions,” ARKIV FOR MATEMATIK, pp. 227–245, 2019, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/65405.