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The A-hypergeometric System Associated with a Monomial Curve
A - hypergeometric system single curve
2014/12/29
The A-hypergeometric System Associated with a Monomial Curve.
A note on a symplectic structure on the space of G-monopoles
Complex semisimple borel subgroups projection line topological charge mode space nature and space
2014/12/29
Let G be a semisimple complex Lie group with a Borel subgroup B. Let X=G/B be the flag manifold of G. Let C=\PP1 ' ￥Unknown control sequence '\PP' be the projective line. Let a Î H2(\bX,\Bbb Z)Un...
The A-hypergeometric system associated with a monomial curve
A - hypergeometric system single curve
2014/12/29
The A-hypergeometric system associated with a monomial curve.
Some Real and Unreal Enumerative Geometry for Flag Manifolds
Build geometric shape numerical homotopy continuation algorithm
2014/12/29
We present a general method for constructing real solutions to some problems in enumerative geometry which gives lower bounds on the maximum number of real solutions. We apply this method to show that...
An Excursion from Enumerative Geometry to Solving Systems of Polynomial Equations with Macaulay 2
To solve the polynomial equations mathematics geometry cross theory
2014/12/29
Solving a system of polynomial equations is a ubiquitous problem in the applications of mathematics. Until recently, it has been hopeless to find explicit solutions to such systems, and mathematics ha...
Statistical Mechanics of a Discrete Nonlinear System
Statistical mechanics discrete nonlinear schrodinger equation the partition function
2014/12/29
Statistical mechanics of the discrete nonlinear Schrödinger equation is studied by means of analytical and numerical techniques. The lower bound of the Hamiltonian permits the construction of sta...
Parametric Quantum Resonances for Bose–Einstein Condensates
Parameter resonance nonlinear schrodinger equation condensate resonance three-dimensional moment method the numerical simulation
2014/12/29
We generalize recent work on parametric resonances for nonlinear Schrödinger (NLS) type equations to the case of three dimensional Bose–Einstein condensates at zero temperatures. We show the poss...
Large deviation principles and complete equivalence and nonequivalence results for pure and mixed ensembles
Statistics turbulent coherent structures mechanical model the model of two-dimensional fluid motion
2014/12/29
We consider a general class of statistical mechanical models of coherent structures in turbulence, which includes models of two-dimensional fluid motion, quasi-geostrophic flows, and dispersive waves....
Asymptotic Hodge theory and quantum products
Convergence properties the dollar polarization hodge structure quantum potential
2014/12/29
Assuming suitable convergence properties for the Gromov-Witten potential of a Calabi-Yau manifold $X$ one may construct a polarized variation of Hodge structure over the complexified K\"ahler cone of ...
Noncommutative Pieri Operators on Posets
Noncommutative algebra symmetric function matrix coefficient hopf hopf algebra algebraic function
2014/12/29
We consider graded representations of the algebra NC of noncommutative symmetric functions on the Z-linear span of a graded poset P. The matrix coefficients of such a representation give a Hopf morphi...
Complementary Algorithms for Tableaux
Familiar with process column inserts rules to compute growth chart the theoretical equation of double
2014/12/29
We study four operations defined on pairs of tableaux. Algorithms for the first three involve the familiar procedures of jeu de taquin, row insertion, and column insertion. The fourth operation, hopsc...
Geometric representation theory of restricted lie algebras
Map building lie algebra and classical lie algebras tectonic change lines etc
2014/12/29
We modify the Hochschild -map to construct central extensions of a restricted Lie algebra. Such central extension gives rise to a goup scheme that leads to a geometric construction of unrestricted rep...
Statistical equilibrium measures in micromagnetics
Equilibrium statistical theory ferromagnetic materials rotate fluctuations
2014/12/29
We derive an equilibrium statistical theory for the macroscopic description of a ferromagnetic material at positive finite temperatures. Our formulation describes the most-probable equilibrium macrost...
Rational hypergeometric functions
Multivariate hypergeometric function complex curved surface the double circular orbit closures geometric function
2014/12/29
Multivariate hypergeometric functions associated with toric varieties were introduced by Gel'fand, Kapranov and Zelevinsky. Singularities of such functions are discriminants, that is, divisors project...
A Polytope Combinatorics for Semisimple Groups
Algebraic cross homology of the cycle cycle the image
2014/12/29
Mirkovi and Vilonen discovered a canonical basis of algebraic cycles for the intersection homology of (the closures of the strata of) the loop Grassmannian. The moment map images of these varieties ar...