On the tight contact structures on seıfert fibred 3−manifolds with 4 singular fibers

Medetoğulları, Elif
In this thesis, we study the classification problem of Stein fillable tight contact structures on any Seifert fibered 3−manifold M over S 2 with 4 singular fibers. In the case e0(M) · −4 we have a complete classification. In the case e0(M) ¸ 0 we have obtained upper and lower bounds for the number of Stein fillable contact structures on M.


Legendrian knots and open book decompositions
Çelik Onaran, Sinem; Korkmaz, Mustafa; Department of Mathematics (2009)
In this thesis, we define a new invariant of a Legendrian knot in a contact manifold using an open book decomposition supporting the contact structure. We define the support genus of a Legendrian knot L in a contact 3-manifold as the minimal genus of a page of an open book of M supporting the contact structure such that L sits on a page and the framings given by the contact structure and the page agree. For any topological link in 3-sphere we construct a planar open book decomposition whose monodromy is a p...
On endomorphisms of surface mapping class groups
Korkmaz, Mustafa (Elsevier BV, 2001-05-01)
In this paper, we prove that every endomorphism of the mapping class group of an orientable surface onto a subgroup of finite index is in fact an automorphism.
On homotopy groups of real algebraic varieties and their complexifications
Ozan, Yıldıray (Springer Science and Business Media LLC, 2004-10-01)
Let X-0 be a topological component of a nonsingular real algebraic variety and i : X --> X-C is a nonsingular projective complexification of X. In this paper, we will study the homomorphism on homotopy groups induced by the inclusion map i: X-0 --> X-C and obtain several results using rational homotopy theory and other standard tools of homotopy theory.
New experimental methods for the determination of the P parity of K mesons
Pak, Namık Kemal; Rekalo, MP (1999-04-01)
We propose new methods to determine the P parity of the K mesons experimentally, based on the measurement of polarization observables in K-meson production in polarized proton-proton collisions. The first method is based on the measurement of the sign of the spin correlation coefficient with transversally polarized protons. The second one is based on the measurement of the polarization transfer coefficient from the initial proton to the produced hyperon. [S0556-2821(99)01905-0].
On the algebraic structure of relative hamiltonian diffeomorphism group
Demir, Ali Sait; Ozan, Yıldıray; Department of Mathematics (2008)
Let M be smooth symplectic closed manifold and L a closed Lagrangian submanifold of M. It was shown by Ozan that Ham(M,L): the relative Hamiltonian diffeomorphisms on M fixing the Lagrangian submanifold L setwise is a subgroup which is equal to the kernel of the restriction of the flux homomorphism to the universal cover of the identity component of the relative symplectomorphisms. In this thesis we show that Ham(M,L) is a non-simple perfect group, by adopting a technique due to Thurston, Herman, and Banyag...
Citation Formats
E. Medetoğulları, “On the tight contact structures on seıfert fibred 3−manifolds with 4 singular fibers,” Ph.D. - Doctoral Program, Middle East Technical University, 2010.