Tight contact structures on small Seifert fibered spaces

Download

index.pdf

Date

2018

Author

Yılmaz, Kürşat

Metadata

Show full item record

Item Usage Stats

95
views

43
downloads

Small Seifert fibered space is a Seifert fibered space with three exceptional fibers. There is an invariant of Seifert fibered spaces which is called Euler number ($e_0$). In this thesis, the classification of tight contact structures on some small Seifert fibered 3-manifolds will be studied. The classifications are based on understanding the interactions between different techniques and theories known as Dehn surgery, contact surgery, the bypass technique, and the convex surface theory. In particular, we will give the complete classification of the tight contact structures on small Seifert fibered spaces having $e_0$ less than or equal to -3, and greater than or equal to 1 by using the work of Wu. Moreover, we will give some partial results when $e_0$ is equal to -1 by using the work of Mark and Tosun.

Subject Keywords

Manifolds (Mathematics)., Euler's numbers., Topology.

URI

http://etd.lib.metu.edu.tr/upload/12622432/index.pdf
https://hdl.handle.net/11511/27567

Collections

Graduate School of Natural and Applied Sciences, Thesis

Suggestions

OpenMETU
Core

Bergman projections on Besov spaces on balls Kaptanoglu, HT (Duke University Press, 2005-06-01) Extended Bergman projections from Lebesgue classes onto all Besov spaces on the unit ball are defined and characterized. Right inverses and adjoints of the projections share the property that they are imbeddings of Besov spaces into Lebesgue classes via certain combinations of radial derivatives. Applications to the Gleason problem at arbitrary points in the ball, duality, and complex interpolation in Besov spaces are obtained. The results apply, in particular, to the Hardy space H-2, the Arveson space, the...
Curves with many points and configurations of hyperplanes over finite fields Özbudak, Ferruh (Elsevier BV, 1999-10-01) We establish a correspondence between a class of Kummer extensions of the rational function field and configurations of hyperplanes in an affine space. Using this correspondence, we obtain explicit curves over finite fields with many rational points. Some of our examples almost attain the Oesterle bound. (C) 1999 Academic Press.
Fibre products of Kummer covers and curves with many points Özbudak, Ferruh (Springer Science and Business Media LLC, 2007-10-01) We study the general fibre product of any two Kummer covers of the projective line over finite fields. Under some assumptions, we obtain an involved condition for the existence of rational points in the fibre product over a rational point of the projective line so that we determine the exact number of the rational points. Using this, we construct explicit examples of such fibre products with many rational points. In particular we obtain a record and a new entry for the table (http://www.science.uva.nl/(simi...
Matrix-product constructions of digital nets Niederreiter, H; Özbudak, Ferruh (Elsevier BV, 2004-07-01) We present a new construction of digital nets, and more generally of (d,k,m,s)-systems, over finite fields which is an analog of the matrix-product construction of codes. Examples show that this construction can yield digital nets with better parameters compared to competing constructions.
Nonlinear Vibrations of a Flexible L-shaped Beam Using Differential Quadrature Method Samandari, Hamed; Ciğeroğlu, Ender (2015-02-05) Flexible L-shaped beams are integrated sub-components of several navy and space structures where overall response of the system is affected by these structures. Hence, an understanding of the dynamical properties of these structural systems is required for their design and control. Recent studies show that the dynamic response of beam like structures undergoing large deformation is nonlinear in nature where phenomenon such as jump and chaotic response can be detected. In this study, nonlinear free vibratio...

Citation Formats

K. Yılmaz, “Tight contact structures on small Seifert fibered spaces,” M.S. - Master of Science, Middle East Technical University, 2018.