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Supersymmetry transformations for singular potentials
Supersymmetry transformations singular potentials
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2011/3/2
Wemake a detailed study of the first and second-order SUSYpartners of a one-dimensional free Hamiltonian with a singular perturbation proportional to a Dirac delta function. It is shown that the secon...
Quantum Gravity coupled to Matter via Noncommutative Geometry
Quantum Gravity Matter Noncommutative Geometry
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2011/3/2
We show that the principal part of the Dirac Hamiltonian in 3+1 dimensions emerges in a semi-classical approximation from a construc-tion which encodes the kinematics of quantum gravity.
Tracing light propagation to the intrinsic accuracy of space-time geometry
relativity gravitation space-time geometry weak field approximations light propagation
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2011/3/4
Advancement in astronomical observations and technical instrumentation requires coding light
propagation at high level of precision; this could open a new detection window of many subtle relativistic...
Weakly regular T2 symmetric spacetimes. The global geometry of future developments
regular T2 symmetric spacetimes global geometry future developments
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2011/3/4
Under weak regularity assumptions, only, we develop a fully geometric theory of vacuum
Einstein spacetimes with T2–symmetry, establish the global well-posedness of the initial value
problem for Eins...
Weakly regular T2 symmetric spacetimes. The global geometry of future developments
regular T2 symmetric spacetimes global geometry of future developments
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2011/3/4
Under weak regularity assumptions, only, we develop a fully geometric theory of vacuum
Einstein spacetimes with T2–symmetry, establish the global well-posedness of the initial value
problem for Eins...
Coloured quivers for rigid objects and partial triangulations: The unpunctured case
Coloured quivers rigid objects partial triangulations unpunctured case
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2011/2/28
We associate a coloured quiver to a rigid object in a Hom-finite 2-Calabi–Yau triangulated category and to a partial triangulation on a marked (unpunctured) Riemann surface.
A Geometric Approach to Orlov's Theorem
Geometric Orlov's Theorem
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2011/2/25
A famous theorem of D. Orlov describes the derived bounded category of coherent sheaves on
projective hypersurfaces in terms of an algebraic construction called graded matrix factorizations.
On Transverse Triangulations
Transverse Triangulations
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2011/2/22
We show that every smooth manifold admits a smooth triangulation transverse to a given
smooth map. This removes the properness assumption on the smooth map used in an essential
way in Scharlemann’s ...
Affine embeddings of a reductive group
Affine embeddings reductive group
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2011/2/22
We classify affine varieties with an action of a connected,reductive algebraic group such that the group is isomorphic to an open orbit in the variety. This is accomplished by associating a set of one...
Linearized inverse scattering based on seismic Reverse Time Migration
Linearized inverse seismic Reverse Time Migration
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2011/2/23
In this paper we study the linearized inverse problem associated with imaging of re ection seismic data.
Incomplete Hypergeometric Systems Associated to 1-Simplex $\times$ (n-1)-Simplex
Incomplete Hypergeometric Systems 1-Simplex $\times$ (n-1)-Simplex
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2011/2/22
The A-hypergeometric system was introduced by Gel’fand, Kapranov and Zelevinsky in the 1980’s. Among several classes of A-hypergeometric functions, those for 1-simplex × (n − 1)-simplex are know...
On subdivisions of dihedral sets
subdivisions dihedral sets
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2011/1/17
We investigate subdivisions of simplicial, cyclic, and dihedral sets by using Drinfeld’s expression of geometric realization as a filtered colimit.
Extending Bricard Octahedra
Extending Bricard Octahedra math
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2010/11/24
We demonstrate the construction of several families of flexible polyhedra by extending Bricard octahedra to form larger composite flexible polyhedra. These flexible polyhedra are of genus 0 and 1, ha...
Fixed-point free maps of Euclidean spaces
Fixed-point Euclidean spaces
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2010/11/24
Our main result states that every fixed-point free continuous self-map of ${\mathbb R}^{n}$ is colorable. This result can be re-formulated as follows: A continuous map $f: {\mathbb R}^{n}\to {\mathbb...
Centro-Affine Invariants for Smooth Convex Bodies
Centro-Affine Invariants Smooth Convex Bodies
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2010/11/24
Employing a centro-affine flow on smooth convex bodies, we generate new centro-affine differential invariants. One class of the newly defined invariants is the object of a sharp isoperimetric inequali...