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COHOMOLOGY OF SL(2, C) CHARACTER VARIETIES OF SURFACE GROUPS AND THE ACTION OF THE TORELLI GROUP
SL(2, C) CHARACTER VARIETIES SURFACE GROUPS TORELLI GROUP
2015/12/17
We determine the action of the Torelli group on the equivariant cohomology of the space of flat SL(2, C) connections on a closed Riemann surface. We show that the trivial part of the action contains t...
SURFACE GROUP REPRESENTATIONS TO SL(2, C) AND HIGGS BUNDLES WITH SMOOTH SPECTRAL DATA
SURFACE GROUP SL(2, C) HIGGS BUNDLES SPECTRAL DATA
2015/12/17
We show that for every nonelementary representation of a surface group into SL(2, C) there is a Riemann surface structure such that the Higgs bundle associated to the representation lies outside the d...
Phase-field model for reconstructed stepped surface
Phase-field model reconstructed stepped surface
2015/10/16
We formulate a phase-field, or diffuse-interface, model for the evolution of stepped surfaces under surface diffusion in the presence of distinct material parameters across nanoscale terraces. In the ...
We investigate some properties of equilibrium liquid drops lying on a horizontal plane, when small periodic perturbations arise in the properties of that plane (due for example to chemical contaminati...
Almost dense orbit on energy surface.
Designing Response Surface Experiments for Factors with Symmetric Effects
Designing Response Surface Experiments Factors with Symmetric
2015/3/20
Motivating Problem: Experimentation related to the engineering design of commercial corn harvesting equipment.Investigation about how the efficiency of harvesting performance is influenced by six vari...
Exact D-optimal designs for response surface models on a circle
Exact D-optimal designs for response surface models on a circle
2015/3/20
Exact D-optimal designs for response surface models on a circle.
D-branes, surface operators, and ADHM quiver representations
D-branes surface operators ADHM quiver representations
2011/3/2
A supersymmetric quantum mechanical model is constructed for BPS states bound to surface operators in five dimensional SU(r) gauge the-ories using D-brane engineering.
Axi-symmetric deformation due to expanding surface loads in a fluid saturated porous medium
Ring load disc load pore pressure
2010/9/25
The general solution to the field equations of fluid saturated incompressible porous medium for two dimensional axi-symmetric problem is obtained due to time harmonic ring and disc loads by applying H...
Hydromagnetic flow and heat transfer on a continuously moving surface
Boundary layer Hydromagnetic flow
2010/9/20
Two – dimensional steady flow of an electrically conducting, viscous incompressible fluid past a continuously moving surface is considered in the presence of uniform transverse magnetic field. By taki...
The results of some experiments on convection by surface heating in a simple numerical model for small-scale processes in the dry atmosphere
Numerical Atmospheric Model Finite Difference
2010/9/27
The model described in this paper represents the flow of dry air in one horizontal dimension of domain length 64 km and the vertical dimension of height 16 km (the height of the tropopause in tropical...
Consider a viscous fluid of finite depth below the air. In the absence of the surface tension effect at the air-fluid interface, the long time behavior of a free surface with small amplitude has been ...
Orientable closed 3-manifolds with surface-complexity one
3-manifolds surface-complexity one
2010/11/23
After a short summary of known results on surface-complexity of closed 3-manifolds, we will classify all closed orientable 3-manifolds with surface-complexity one.
The Shape Parameter in the Shifted Surface Spline
The Shape Parameter Shifted Surface Spline
2010/11/8
There is a constant c contained in the famous radial basis function shifted surface spline. It's called shape parameter. RBF people only know that this constant is very influential, while its optimal ...
Chemical reaction, heat and mass transfer on nonlinear MHD boundary layer flow through a vertical porous surface in the presence of suction
Buoyancy effects Chemical reaction
2010/9/17
The effect of chemical reaction on the forced and free convection boundary layer that flows in a semi-infinite expanse of an electrically conducting viscous incompressible fluid past vertical porous p...