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

Репозиторій DSpace/Manakin

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

Сортувати за: Порядок: Результатів:

  • Darboux and Binary Darboux Transformations for Discrete Integrable Systems. II. Discrete Potential mKdV Equation 
    Shi, Y.; Nimmo, J.; Zhao, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    The paper presents two results. First it is shown how the discrete potential modified KdV equation and its Lax pairs in matrix form arise from the Hirota-Miwa equation by a 2-periodic reduction. Then Darboux transformations ...
  • Derivations and Spectral Triples on Quantum Domains I: Quantum Disk 
    Klimek, S.; McBride, M.; Rathnayake, S.; Sakai, K.; Wang, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We study unbounded invariant and covariant derivations on the quantum disk. In particular we answer the question whether such derivations come from operators with compact parametrices and thus can be used to define spectral ...
  • Differential Calculus on h-Deformed Spaces 
    Herlemont, B.; Ogievetsky, O. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We construct the rings of generalized differential operators on the h-deformed vector space of gl-type. In contrast to the q-deformed vector space, where the ring of differential operators is unique up to an isomorphism, ...
  • Doran-Harder-Thompson Conjecture via SYZ Mirror Symmetry: Elliptic Curves 
    Kanazawa, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We prove the Doran-Harder-Thompson conjecture in the case of elliptic curves by using ideas from SYZ mirror symmetry. The conjecture claims that when a Calabi-Yau manifold X degenerates to a union of two quasi-Fano manifolds ...
  • Drinfeld J Presentation of Twisted Yangians 
    Belliard, S.; Regelskis, V. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We present a quantization of a Lie coideal structure for twisted half-loop algebras of finite-dimensional simple complex Lie algebras. We obtain algebra closure relations of twisted Yangians in Drinfeld J presentation for ...
  • Elliptic Determinantal Processes and Elliptic Dyson Models 
    Katori, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We introduce seven families of stochastic systems of interacting particles in one-dimension corresponding to the seven families of irreducible reduced affine root systems. We prove that they are determinantal in the sense ...
  • 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 ...
  • Ermakov-Painlevé II Symmetry Reduction of a Korteweg Capillarity System 
    Rogers, C.; Clarkson, P.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    A class of nonlinear Schrödinger equations involving a triad of power law terms together with a de Broglie-Bohm potential is shown to admit symmetry reduction to a hybrid Ermakov-Painlevé II equation which is linked, in ...
  • Factorizable R-Matrices for Small Quantum Groups 
    Lentner, S.; Ohrmann, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    Representations of small quantum groups uq(g) at a root of unity and their extensions provide interesting tensor categories, that appear in different areas of algebra and mathematical physics. There is an ansatz by Lusztig ...
  • Factor Ordering and Path Integral Measure for Quantum Gravity in (1+1) Dimensions 
    Haga, J.; Maitra, R.L. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We develop a mathematically rigorous path integral representation of the time evolution operator for a model of (1+1) quantum gravity that incorporates factor ordering ambiguity. In obtaining a suitable integral kernel for ...
  • Formal Integrals and Noether Operators of Nonlinear Hyperbolic Partial Differential Systems Admitting a Rich Set of Symmetries 
    Startsev, S.Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    The paper is devoted to hyperbolic (generally speaking, non-Lagrangian and nonlinear) partial differential systems possessing a full set of differential operators that map any function of one independent variable into a ...
  • Four-Dimensional Painlevé-Type Equations Associated with Ramified Linear Equations III: Garnier Systems and Fuji-Suzuki Systems 
    Kawakami, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    This is the last part of a series of three papers entitled ''Four-dimensional Painlevé-type equations associated with ramified linear equations''. In this series of papers we aim to construct the complete degeneration ...
  • G-Invariant Deformations of Almost-Coupling Poisson Structures 
    Vallejo, J.A.; Vorobiev, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    On a foliated manifold equipped with an action of a compact Lie group G, we study a class of almost-coupling Poisson and Dirac structures, in the context of deformation theory and the method of averaging.
  • GKZ Hypergeometric Series for the Hesse Pencil, Chain Integrals and Orbifold Singularities 
    Zhou, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    The GKZ system for the Hesse pencil of elliptic curves has more solutions than the period integrals. In this work we give different realizations and interpretations of the extra solution, in terms of oscillating integral, ...
  • 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 ...
  • Gustafson-Rakha-Type Elliptic Hypergeometric Series 
    Rosengren, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We prove a multivariable elliptic extension of Jackson's summation formula conjectured by Spiridonov. The trigonometric limit case of this result is due to Gustafson and Rakha. As applications, we obtain two further ...
  • Highest ℓ-Weight Representations and Functional Relations 
    Nirov, K.S.; Razumov, A.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We discuss highest ℓ-weight representations of quantum loop algebras and the corresponding functional relations between integrability objects. In particular, we compare the prefundamental and q-oscillator representations ...
  • 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 ...
  • Integrability, Quantization and Moduli Spaces of Curves 
    Rossi, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    This paper has the purpose of presenting in an organic way a new approach to integrable (1+1)-dimensional field systems and their systematic quantization emerging from intersection theory of the moduli space of stable ...
  • 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 ...

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