Integral laminations on nonorientable surfaces

Oyku Yurttas, Syed
Pamuk, Mehmetcik
We describe triangle coordinates for integral laminations on a nonorientable surface N-k,N-n of genus kwithn punctures and one boundary component, and we give an explicit bijection from the set of integral laminations on N-k,N-n to (z(2(n+k-2)) x z(k)) \ {0}.


Automorphisms of curve complexes on nonorientable surfaces
Atalan, Ferihe; Korkmaz, Mustafa (2014-01-01)
For a compact connected nonorientable surface N of genus g with n boundary components, we prove that the natural map from the mapping class group of N to the automorphism group of the curve complex of N is an isomorphism provided that g + n >= 5. We also prove that two curve complexes are isomorphic if and only if the underlying surfaces are diffeomorphic.
Near-field performance analysis of locally-conformal perfectly matched absorbers via Monte Carlo simulations
Ozgun, Ozlem; Kuzuoğlu, Mustafa (2007-12-10)
In the numerical solution of some boundary value problems by the finite element method (FEM), the unbounded domain must be truncated by an artificial absorbing boundary or layer to have a bounded computational domain. The perfectly matched layer (PML) approach is based on the truncation of the computational domain by a reflectionless artificial layer which absorbs outgoing waves regardless of their frequency and angle of incidence. In this paper, we present the near-field numerical performance analysis of o...
Coherent states for PT-/non-PT-symmetric and non-Hermitian Morse potentials via the path integral method
KANDIRMAZ, NALAN; Sever, Ramazan (IOP Publishing, 2010-03-01)
We discuss the coherent states for PT-/non-PT-symmetric and non-Hermitian generalized Morse potentials obtained by using path integral formalism over the holomorphic coordinates. We transform the action of generalized Morse potentials into two harmonic oscillators with a new parametric time to establish the parametric time coherent states. We calculate the energy eigenvalues and the corresponding wave functions in parabolic coordinates.
Legendrian realization in convex Lefschetz fibrations and convex stabilizations
Akbulut, Selman; Arıkan, Mehmet Fırat (Walter de Gruyter GmbH, 2015-05-01)
We show that, up to a Liouville homotopy and a deformation of compact convex Lefschetz fibrations on W, any Lagrangian submanifold with trivial first de Rham cohomology group, embedded on a (symplectic) page of the (induced) convex open book on partial derivative W, can be assumed to be Legendrian in partial derivative W with the induced contact structure. This can be thought as the extension of Giroux's Legendrian realization (which holds for contact open books) for the case of convex open books. We also s...
Differential Quadrature Solution of Hyperbolic Telegraph Equation
Pekmen, B.; Tezer, Münevver (2012-01-01)
Differential quadrature method (DQM) is proposed for the numerical solution of one- and two-space dimensional hyperbolic telegraph equation subject to appropriate initial and boundary conditions. Both polynomial-based differential quadrature (PDQ) and Fourier-based differential quadrature (FDQ) are used in space directions while PDQ is made use of in time direction. Numerical solution is obtained by using Gauss-Chebyshev-Lobatto grid points in space intervals and equally spaced and/or GCL grid points for th...
Citation Formats
S. Oyku Yurttas and M. Pamuk, “Integral laminations on nonorientable surfaces,” TURKISH JOURNAL OF MATHEMATICS, pp. 69–82, 2018, Accessed: 00, 2020. [Online]. Available: