Modifications of bundles, elliptic integrable systems, and related problems (Q461537)

scientific article; zbMATH DE number 6353903

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English	Modifications of bundles, elliptic integrable systems, and related problems	scientific article; zbMATH DE number 6353903

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instance of

scholarly article

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title

Modifications of bundles, elliptic integrable systems, and related problems (English)

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Theoretical and Mathematical Physics

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publication date

13 October 2014

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zbMATH Keywords

integrable system

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Painlevé equation

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Hitchin system

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bundles

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1007/s11232-013-0106-1

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cites work

Stable bundles and integrable systems

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Hamiltonian systems of Calogero-type, and two-dimensional Yang-Mills theory

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Double coset construction of moduli spaces of holomorphic bundles and Hitchin systems

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Hitchin systems -- symplectic Hecke correspondence and two-dimensional version

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Elliptic Schlesinger system and Painlevé VI

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METHODS OF ALGEBRAIC GEOMETRY IN THE THEORY OF NON-LINEAR EQUATIONS

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A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I

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Q3999049

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The Painlevé property. One century later

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Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. I: General theory and $\tau $-function

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Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II

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Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. III

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Lax representation with spectral parameter on a torus for integrable particle systems

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Characteristic classes and Hitchin systems. General construction

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Calogero-Moser systems for simple Lie groups and characteristic classes of bundles

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Nonlinear equations and elliptic curves

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Holomorphic bundles and many-body systems

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Integrable model of interacting elliptic tops

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Q2774024

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Vector Bundles Over an Elliptic Curve

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Dynamical symmetry of integrable quantum systems

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On moduli spaces of flat connections with non-simply connected structure group

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Principal $G$-bundles over elliptic curves

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Integrable many-body systems via the Inosemtsev limit

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A class of integrable spin Calogero-Moser systems

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Boundary conditions for integrable quantum systems

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Classical<i>r</i>-matrices and the Feigin–Odesskii algebra via Hamiltonian and Poisson reductions

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Quadratic algebras related to elliptic curves

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Traces of intertwiners for quantum groups and difference equations

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Quantum inverse problem method. I

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Conformal blocks on elliptic curves and the Knizhnik-Zamolodchikov-Bernard equations

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The $r$-matrix structure of the Euler-Calogero-Moser model

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Characteristic classes of ${\rm SL}(N, {\mathbb {C}})$-bundles and quantum dynamical elliptic R-matrices

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Vector bundles and Lax equations on algebraic curves

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Elliptic linear problem for the Calogero--Inozemtsev model and Painlevé VI equation

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Painlevé VI, rigid tops and reflection equation

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Electric-magnetic duality and the geometric Langlands program

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Monodromy- and spectrum-preserving deformations. I

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Elliptic solutions of the Kadomtsev-Petviashvili equation and integrable systems of particles

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Nonautonomous Hamiltonian systems related to higher Hitchin integrals

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Q4400512

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Q4079943

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Painlevé-Calogero correspondence revisited

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Quantum Painlevé-Calogero correspondence

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``Quantizations'' of the second Painlevé equation and the problem of the equivalence of its $L-A$ pairs

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Quantum Painlevé-Calogero correspondence for Painlevé VI

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$N=4$ dualities

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Q4524602

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Spectral duality between Heisenberg chain and Gaudin model

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Dual moment maps into loop algebras

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Tata lectures on theta. I: Introduction and motivation: Theta functions in one variable. Basic results on theta functions in several variables. With the assistance of C. Musili, M. Nori, E. Previato, and M. Stillman

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Q4040208

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Identifiers

zbMATH Open document ID

1417.37209

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Mathematics Subject Classification ID

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10.1007/S11232-013-0106-1

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Sitelinks

Mathematics(1 entry)

mardi Publication:461537