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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2017, том 13, випуск за цей рік за датою випуску

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2017, том 13, випуск за цей рік за датою випуску

Сортувати за: Порядок: Результатів:

  • Orthogonal Rational Functions on the Unit Circle with Prescribed Poles not on the Unit Circle 
    Bultheel, A.; Cruz-Barroso, R.; Lasarow, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    Orthogonal rational functions (ORF) on the unit circle generalize orthogonal polynomials (poles at infinity) and Laurent polynomials (poles at zero and infinity). In this paper we investigate the properties of and the ...
  • Integrable Deformations of Sine-Liouville Conformal Field Theory and Duality 
    Fateev, V.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We study integrable deformations of sine-Liouville conformal field theory. Every integrable perturbation of this model is related to the series of quantum integrals of motion (hierarchy). We construct the factorized ...
  • The Geometry of Almost Einstein (2,3,5) Distributions 
    Sagerschnig, K.; Willse, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We analyze the classic problem of existence of Einstein metrics in a given conformal structure for the class of conformal structures inducedf Nurowski's construction by (oriented) (2,3,5) distributions. We characterize in ...
  • Equivariant Gromov-Witten Invariants of Algebraic GKM Manifolds 
    Liu, Chiu-Chu Melissa; Sheshmani, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    An algebraic GKM manifold is a non-singular algebraic variety equipped with an algebraic action of an algebraic torus, with only finitely many torus fixed points and finitely many 1-dimensional orbits. In this expository ...
  • Connected Lie Groupoids are Internally Connected and Integral Complete in Synthetic Differential Geometry 
    Burke, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We extend some fundamental definitions and constructions in the established generalisation of Lie theory involving Lie groupoids by reformulating them in terms of groupoids internal to a well-adapted model of synthetic ...
  • The Moments of the Hydrogen Atom by the Method of Brackets 
    Gonzalez, I.; Kohl, K.T.; Kondrashuk, I.; Moll, V.H.; Salinas, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    Expectation values of powers of the radial coordinate in arbitrary hydrogen states are given, in the quantum case, by an integral involving the associated Laguerre function. The method of brackets is used to evaluate the ...
  • Hodge Numbers from Picard-Fuchs Equations 
    Doran, C.F.; Harder, A.; Thompson, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    Given a variation of Hodge structure over P¹ with Hodge numbers (1,1,…,1), we show how to compute the degrees of the Deligne extension of its Hodge bundles, following Eskin-Kontsevich-Möller-Zorich, by using the local ...
  • Twistor Geometry of Null Foliations in Complex Euclidean Space 
    Taghavi-Chabert, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We give a detailed account of the geometric correspondence between a smooth complex projective quadric hypersurface Qⁿ of dimension n≥3, and its twistor space PT, defined to be the space of all linear subspaces of maximal ...
  • Self-Dual Systems, their Symmetries and Reductions to the Bogoyavlensky Lattice 
    Fordy, A.P.; Xenitidis, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We recently introduced a class of ZN graded discrete Lax pairs and studied the associated discrete integrable systems (lattice equations). In particular, we introduced a subclass, which we called ''self-dual''. In this ...
  • Lagrangian Mechanics and Reduction on Fibered Manifolds 
    Li, S.; Stern, A.; Tang, X. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    This paper develops a generalized formulation of Lagrangian mechanics on fibered manifolds, together with a reduction theory for symmetries corresponding to Lie groupoid actions. As special cases, this theory includes not ...
  • Bethe Vectors for Composite Models with gl(2|1) and gl(1|2) Supersymmetry 
    Fuksa, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    Supersymmetric composite generalized quantum integrable models solvable by the algebraic Bethe ansatz are studied. Using a coproduct in the bialgebra of monodromy matrix elements and their action on Bethe vectors, formulas ...
  • The Malgrange Form and Fredholm Determinants 
    Bertola, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We consider the factorization problem of matrix symbols relative to a closed contour, i.e., a Riemann-Hilbert problem, where the symbol depends analytically on parameters. We show how to define a function τ which is locally ...
  • Rigidity and Vanishing Theorems for Almost Even-Clifford Hermitian Manifolds 
    Garcia-Pulido, A.L.; Herrera, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We prove the rigidity and vanishing of several indices of ''geometrically natural'' twisted Dirac operators on almost even-Clifford Hermitian manifolds admitting circle actions by automorphisms.
  • The Profinite Dimensional Manifold Structure of Formal Solution Spaces of Formally Integrable PDEs 
    Güneysu, B.; Pflaum, M.J. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    In this paper, we study the formal solution space of a nonlinear PDE in a fiber bundle. To this end, we start with foundational material and introduce the notion of a pfd structure to build up a new concept of profinite ...
  • Symmetries of the Hirota Difference Equation 
    Pogrebkov, A.K. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    Continuous symmetries of the Hirota difference equation, commuting with shifts of independent variables, are derived by means of the dressing procedure. Action of these symmetries on the dependent variables of the equation ...
  • Spacetime-Free Approach to Quantum Theory and Effective Spacetime Structure 
    Raasakka, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    Motivated by hints of the effective emergent nature of spacetime structure, we formulate a spacetime-free algebraic framework for quantum theory, in which no a priori background geometric structure is required. Such a ...
  • Another Approach to Juhl's Conformally Covariant Differential Operators from Sⁿ to Sⁿ⁻¹ 
    Clerc, Jean-Louis (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    A family (Dλ)λ∈C of differential operators on the sphere Sⁿ is constructed. The operators are conformally covariant for the action of the subgroup of conformal transformations of Sⁿ which preserve the smaller sphere Sⁿ⁻¹ ...
  • On the Spectra of Real and Complex Lamé Operators 
    Haese-Hill, W.A.; Hallnäs, M.A.; Veselov, A.P. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We study Lamé operators of the form L=−d²/dx²+m(m+1)ω²℘(ωx+z₀), with m∈N and ω a half-period of ℘(z). For rectangular period lattices, we can choose ω and z0 such that the potential is real, periodic and regular. It ...
  • Global Existence of Bi-Hamiltonian Structures on Orientable Three-Dimensional Manifolds 
    Işim Efe, M.; Abadoğlu, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    In this work, we show that an autonomous dynamical system defined by a nonvanishing vector field on an orientable three-dimensional manifold is globally bi-Hamiltonian if and only if the first Chern class of the normal ...
  • Multi-Poisson Approach to the Painlevé Equations: from the Isospectral Deformation to the Isomonodromic Deformation 
    Chiba, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    A multi-Poisson structure on a Lie algebra g provides a systematic way to construct completely integrable Hamiltonian systems on g expressed in Lax form ∂Xλ/∂t=[Xλ,Aλ] in the sense of the isospectral deformation, where ...

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