Maximal page crossing number of embedded closed legendrian surfaces in closed contact 5-manifolds

Download

index.pdf

Date

2020

Author

Erşen, Özlem

Metadata

Show full item record

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

Item Usage Stats

211
views

62
downloads

The main purpose of this thesis is to introduce a new Legendrian isotopy invariantfor any closed orientable Legendrian surfaceLembedded in a closed contact5- man-ifold(M,ξ)which admits an "admissable" open book(B,f)(supportingξ) forL.We show that to any suchLand a fixed pageX, one can assign an integerMPX(L),called "Relative Maximal Page Crossing Number ofLwith respect toX", which isinvariant under Legendrian isotopies ofL. We also show that one can extend thisto a page-free invariant, i.e., one can assign an integerMP(B,f)(L), called "Abso-lute Maximal Page Crossing Number ofLwith respect to(B,f)", which is invari-ant under Legendrian isotopies ofL. In particular, this new invariant distinguishesLegendrian surfaces in the standard five-sphere which can not be distinguished byThurston-Bennequin invariant.We give definitions ofMPX(L)andMP(B,f)(L)and show that the invariants arewell defined. Also, we show that they are preserved under Legendrian isotopies of L. Finally, we give an example about these invariants.

Subject Keywords

Manifolds (Mathematics)., Legendrian surface, open book, contact structure, symplectic, maximal page crossing number

URI

http://etd.lib.metu.edu.tr/upload/12625377/index.pdf
https://hdl.handle.net/11511/45073

Collections

Graduate School of Natural and Applied Sciences, Thesis

Suggestions

OpenMETU
Core

Local left invertibility for operator tuples and noncommutative localizations Dosiev, Anar (Cambridge University Press (CUP), 2009-01-01) In the paper we propose an operator approach to the noncommutative Taylor localization problem based on the local left invertibility for operator tuples acting on a Frechet space. We prove that the canonical homomorphism U(g) -> O(g) of the universal enveloping algebra U(g) of a nilpotent Lie algebra g into its Arens-Michael envelope O(g) is the Taylor localization whenever g has normal growth.
ON THE k-TH ORDER LFSR SEQUENCE WITH PUBLIC KEY CRYPTOSYSTEMS KIRLAR, Barış Bülent; Cil, Melek (Walter de Gruyter GmbH, 2017-06-01) In this paper, we propose a novel encryption scheme based on the concepts of the commutative law of the k-th order linear recurrences over the finite field F-q for k > 2. The proposed encryption scheme is an ephemeral-static, which is useful in situations like email where the recipient may not be online. The security of the proposed encryption scheme depends on the difficulty of solving some Linear Feedback Shift Register (LFSR) problems. It has also the property of semantic security. For k = 2, we propose ...
Norm estimates of a class of Calderon-Zygmund type strongly singular integral operators Aksoy, Ue; Celebi, A. O. (Informa UK Limited, 2007-02-01) In this article, we prove the L-p boundedness of a class of Calderon - Zygmund type strongly singular operators. In particular, we give an estimate for the L-2 norm of these operators in the unit disc of the complex plane.
THE CLASS OF (2,2)-GROUPS WITH HOMOCYCLIC REGULATOR QUOTIENT OF EXPONENT p(3) HAS BOUNDED REPRESENTATION TYPE Arnold, David M.; Mader, Adolf; Mutzbauer, Otto; Solak, Ebru (Cambridge University Press (CUP), 2015-08-01) The class of almost completely decomposable groups with a critical typeset of type (2,2) and a homocyclic regulator quotient of exponent p(3) is shown to be of bounded representation type. There are only 16 isomorphism at p types of indecomposables, all of rank 8 or lower.
MARGINAL BAYESIAN BHATTACHARYYA BOUNDS FOR DISCRETE-TIME FILTERING Fritsche, Carsten; Orguner, Umut; Özkan, Emre; Gustafsson, Fredrik (2018-04-20) In this paper, marginal versions of the Bayesian Bhattacharyya lower bound (BBLB), which is a tighter alternative to the classical Bayesian Cramer-Rao bound, for discrete-time filtering are proposed. Expressions for the second and third-order marginal BBLBs are obtained and it is shown how these can be approximately calculated using particle filtering. A simulation example shows that the proposed bounds predict the achievable performance of the filtering algorithms better.

Citation Formats

Ö. Erşen, “Maximal page crossing number of embedded closed legendrian surfaces in closed contact 5-manifolds,” Thesis (Ph.D.) -- Graduate School of Natural and Applied Sciences. Mathematics., Middle East Technical University, 2020.