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The Seventh Advanced Seminar in Symplectic Geometry and Topological Field Theory
The Seventh Advanced Seminar Symplectic Geometry and Topological Field Theory
2017/3/28
The topics of the 7th Advanced Seminar in Symplectic Geometry and Topological Field Theory are 1) Givental's quantization formula and Teleman's classification of semisimple cohomological field theory;...
The Ptolemy coordinates for boundary-unipotent SL(n; C)-representations of a
3-manifold group were introduced in [7] inspired by the A-coordinates on higher Teichmuller
space due to Fock and Goncha...
PAIR EXCITATIONS AND THE MEAN FIELD APPROXIMATION OF INTERACTING BOSONS, I
PAIR EXCITATIONS MEAN FIELD APPROXIMATION
2015/10/15
In our previous work [20],[21] we introduced a correction to the mean eld approximation of interacting Bosons. This
correction describes the evolution of pairs of particles that leave
the condensat...
B-field transformations of Poisson groupoids
B-field transformations Poisson groupoids Symplectic Geometry
2011/9/13
Abstract: In this work we study B-field transformations of multiplicative Poisson bivectors on a Lie groupoid G. We are concerned with B-fields given by multiplicative closed 2-forms on G. We view Poi...
Formulae for the determination of the elements of the Eotvos matrix of the Earth's normal gravity field and a relation between normal and actual Gaussian curvature
Eotvos matrix normal gravity field equipotential surfaces Gauss curvature plumbline curvature
2011/9/1
Abstract: In this paper we form relations for the determination of the elements of the E\"otv\"os matrix of the Earth's normal gravity field. In addition a relation between the Gauss curvature of the ...
Integrable defects in affine Toda field theory and infinite dimensional representations of quantum groups
Integrable defects affine Toda field theory infinite dimensional representations quantum groups
2011/3/3
Transmission matrices for two types of integrable defect are calculated explicitly, first by solving directly the nonlinear transmission Yang-Baxter equations.
We study the Casimir energy of a scalar field for a regular polygon with N sides.
Casimir energy scalar field regular polygon
2011/2/25
We study the Casimir energy of a scalar field for a regular polygon with N sides.The scalar field obeys Dirichlet boundary conditions at the perimeter of the polygon.
A "hybrid plane" with spin-orbit interaction and magnetic field
"hybrid plane" with spin-orbit interaction magnetic field
2010/12/13
We discuss spectral and resonance properties of a Hamiltonian describing motion of an electron moving on a \hybrid surface" consisting on a hal ine attached by its endpoints to a plane under in uence ...
A Vector Field Method Approach to Improved Decay for Solutions to the Wave Equation on a Slowly Rotating Kerr Black Hole
Vector Field Method Approach Improved Decay for Solutions Wave Equation Kerr Black Hole
2010/12/15
We prove that sufficiently regular solutions to the wave equation gK = 0 on the exterior of a sufficiently slowly rotating Kerr black hole obey the estimates || C(t)−3
2 + on a compact r...
Time-Periodic Solutions of the Einstein's Field Equations II: Geometric Singularities
Einstein's ˉeld equations time-periodic solution Riemann curvature tensor singu- larity event horizon
2018/4/20
In this paper, we construct several kinds of new time-periodic solutions of the vacuum Einstein's field equations whose Riemann curvature tensors vanish, keep finite or take the infinity at some point...