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Перегляд Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) за назвою

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) за назвою

Сортувати за: Порядок: Результатів:

  • Monogenic Functions in Conformal Geometry 
    Eastwood, M.; Ryan, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    Monogenic functions are basic to Clifford analysis. On Euclidean space they are defined as smooth functions with values in the corresponding Clifford algebra satisfying a certain system of first order differential equations, ...
  • Monomial Crystals and Partition Crystals 
    Tingley, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    Recently Fayers introduced a large family of combinatorial realizations of the fundamental crystal B(Λ₀) for sln, where the vertices are indexed by certain partitions. He showed that special cases of this construction agree ...
  • Monopoles and Modifications of Bundles over Elliptic Curves 
    Levin, A.M.; Olshanetsky, M.A.; Zotov, A.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Modifications of bundles over complex curves is an operation that allows one to construct a new bundle from a given one. Modifications can change a topological type of bundle. We describe the topological type in terms of ...
  • Motions of Curves in the Projective Plane Inducing the Kaup-Kupershmidt Hierarchy 
    Musso, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    The equation of a motion of curves in the projective plane is deduced. Local flows are defined in terms of polynomial differential functions. A family of local flows inducing the Kaup-Kupershmidt hierarchy is constructed. ...
  • M-Theory with Framed Corners and Tertiary Index Invariants 
    Sati, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    The study of the partition function in M-theory involves the use of index theory on a twelve-dimensional bounding manifold. In eleven dimensions, viewed as a boundary, this is given by secondary index invariants such as ...
  • Multicomponent Burgers and KP Hierarchies, and Solutions from a Matrix Linear System 
    Dimakis, A.; Müller-Hoissen, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Via a Cole-Hopf transformation, the multicomponent linear heat hierarchy leads to a multicomponent Burgers hierarchy. We show in particular that any solution of the latter also solves a corresponding multicomponent (potential) ...
  • Multi-Component Integrable Systems and Invariant Curve Flows in Certain Geometries 
    Qu, C.; Song, J.; Yao, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    In this paper, multi-component generalizations to the Camassa-Holm equation, the modified Camassa-Holm equation with cubic nonlinearity are introduced. Geometric formulations to the dual version of the Schrödinger equation, ...
  • Multi-Component NLS Models on Symmetric Spaces: Spectral Properties versus Representations Theory 
    Gerdjikov, V.S.; Grahovski, G.G. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    The algebraic structure and the spectral properties of a special class of multi-component NLS equations, related to the symmetric spaces of BD.I-type are analyzed. The focus of the study is on the spectral theory of the ...
  • Multidimensional Toda Lattices: Continuous and Discrete Time 
    Aptekarev, A.I.; Derevyagin, M.; Miki, H.; Van Assche, W. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    In this paper we present multidimensional analogues of both the continuous- and discrete-time Toda lattices. The integrable systems that we consider here have two or more space coordinates. To construct the systems, we ...
  • Multi-Hamiltonian Structures on Beauville's Integrable System and Its Variant 
    Inoue, R.; Konishi, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We study Beauville's completely integrable system and its variant from a viewpoint of multi-Hamiltonian structures. We also relate our result to the previously known Poisson structures on the Mumford system and the even ...
  • Multi-Hamiltonian Structures on Spaces of Closed Equicentroaffine Plane Curves Associated to Higher KdV Flows 
    Fujioka, A.; Kurose, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    Higher KdV flows on spaces of closed equicentroaffine plane curves are studied and it is shown that the flows are described as certain multi-Hamiltonian systems on the spaces. Multi-Hamiltonian systems describing higher ...
  • Multiple Actions of the Monodromy Matrix in gl(2|1)-Invariant Integrable Models 
    Hutsalyuk, A.; Liashyk, A.; Pakuliak, S.Z.; Ragoucy, E.; Slavnov, N.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We study gl(2|1) symmetric integrable models solvable by the nested algebraic Bethe ansatz. Using explicit formulas for the Bethe vectors we derive the actions of the monodromy matrix entries onto these vectors. We show ...
  • 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 ...
  • Multispecies Weighted Hurwitz Numbers 
    Harnad, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    The construction of hypergeometric 2D Toda τ-functions as generating functions for weighted Hurwitz numbers is extended to multispecies families. Both the enumerative geometrical significance of multispecies weighted Hurwitz ...
  • Multisymplectic Lagrangian and Hamiltonian Formalisms of Classical Field Theories 
    Román-Roy, N. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    This review paper is devoted to presenting the standard multisymplectic formulation for describing geometrically classical field theories, both the regular and singular cases. First, the main features of the Lagrangian ...
  • Multivariable Christoffel-Darboux kernels and characteristic polynomials of random hermitian matrices 
    Rosengren, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We study multivariable Christoffel-Darboux kernels, which may be viewed as reproducing kernels for antisymmetric orthogonal polynomials, and also as correlation functions for products of characteristic polynomials of random ...
  • Multivariate Orthogonal Polynomials and Modified Moment Functionals 
    Delgado, A.M.; Fernández, L.; Pérez, T.E.; Piñar, M.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    Multivariate orthogonal polynomials can be introduced by using a moment functional defined on the linear space of polynomials in several variables with real coefficients. We study the so-called Uvarov and Christoffel ...
  • Multi-Well Potentials in Quantum Mechanics and Stochastic Processes 
    Berezovoj, V.P.; Ivashkevych, G.I.; Konchatnij, M.I. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    Using the formalism of extended N=4 supersymmetric quantum mechanics we consider the procedure of the construction of multi-well potentials. We demonstrate the form-invariance of Hamiltonians entering the supermultiplet, ...
  • Mutations of Laurent Polynomials and Flat Families with Toric Fibers 
    Ilten, N.O. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We give a general criterion for two toric varieties to appear as fibers in a flat family over P¹. We apply this to show that certain birational transformations mapping a Laurent polynomial to another Laurent polynomial ...
  • Mystic Reflection Groups 
    Bazlov, Y.; Berenstein, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    This paper aims to systematically study mystic reflection groups that emerged independently in the paper [Selecta Math. (N.S.) 14 (2009), 325-372] by the authors and in the paper [Algebr. Represent. Theory 13 (2010), ...

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