From automorphisms of Riemann surfaces to smooth 4-manifolds

2020-01-01
Beyaz, Ahmet
ONARAN, SİNEM
Park, B. Doug
Show full item record
Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
181
views
0
downloads
Starting from a suitable set of self-diffeomorphisms of a closed Riemann surface, we present a general branched covering method to construct surface bundles over surfaces with positive signature. Armed with this method, we study the classification problem for both surface bundles with nonzero signature and closed simply connected smooth spin 4-manifolds.
Geography, Bundles, Signatures
https://hdl.handle.net/11511/55291
MATHEMATICAL RESEARCH LETTERS
Department of Mathematics, Article

Suggestions

First-principles calculations for the structural and electronic properties of GaAs1-xPx nanowires
Mohammad, Rezek; Katırcıoğlu, Şenay (2016-03-01)
Structural stability and electronic properties of GaAs1-xPx (0.0 <= x <= 1.0) nanowires (NWs) in zinc-blende (ZB) (similar to 5 <= diameter <= similar to 21 angstrom) and wurtzite (WZ) (similar to 5 <= diameter <= similar to 29 angstrom) phases are investigated by first-principles calculations based on density functional theory (DFT). GaAs (x = 0.0) and GaP (x = 1.0) compound NWs inWZ phase are found energetically more stable than in ZB structural ones. In the case of GaAs1-xPx alloy NWs, the energetically ...
On representations of Clifford algebras of Ternary cubic forms
Coşkun, Emre; Mustopa, Yusuf (2010-08-14)
In this article, we provide an overview of a one-to-one correspondence between representations of the generalized Clifford algebra C-f of a ternary cubic form f and certain vector bundles (called Ulrich bundles) on a cubic surface X. We study general properties of Ulrich bundles, and using a recent classification of Casanellas and Hartshorne, deduce the existence of irreducible representations of C-f of every possible dimension.
Improving the accuracy of the surface integral equations for low-contrast dielectric scatterers
Ergül, Özgür Salih (2007-06-15)
Solutions of scattering problems involving low-contrast dielectric objects are considered by employing surface integral equations. A stabilization procedure based on extracting the non-radiating part of the induced currents is applied so that the remaining radiating currents can be modelled appropriately and the scattered fields from the low-contrast objects can be calculated with improved accuracy. Stabilization is applied to both tangential (T) and normal (N) formulations in order to use the benefits of d...
Investigation of effect of design and operating parameters on acoustophoretic particle separation via 3D device-level simulations
Sahin, Mehmet Akif; ÇETİN, BARBAROS; Özer, Mehmet Bülent (Springer Science and Business Media LLC, 2019-12-16)
In the present study, a 3D device-level numerical model is implemented via finite element method to assess the effects of design and operating parameters on the separation performance of a microscale acoustofluidic device. Elastodynamic equations together with electromechanical coupling at the piezoelectric actuators for the stress field within the solid parts, Helmholtz equation for the acoustic field within fluid, and Navier-Stokes equations for the fluid flow are coupled for the simulations. Once the zer...
ON GENERALIZED LOCAL SYMMETRIES OF THE SO(2,1) INVARIANT NONLINEAR SIGMA-MODEL
BASKAL, S; ERIS, A; SATIR, A (1994-12-19)
The symmetries and associated conservation laws of the SO(2,1) invariant non-linear sigma model equations in 1+1 dimensions are investigated. An infinite family of generalized local symmetries is presented and the uniqueness of these solutions is discussed.
Citation Formats
A. Beyaz, S. ONARAN, and B. D. Park, “From automorphisms of Riemann surfaces to smooth 4-manifolds,” MATHEMATICAL RESEARCH LETTERS, pp. 629–645, 2020, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/55291.
METU IIS - Integrated Information Service open@metu.edu.tr