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Ebook: Integrable Systems: The Verdier Memorial Conference Actes du Colloque International de Luminy

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27.01.2024
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Content:
Front Matter....Pages i-xii
Front Matter....Pages 37-37
Hommage `Jean-Louis Verdier : au jardin des syst?mes int?grables....Pages 1-36
Front Matter....Pages 37-37
Compactified Jacobians of Tangential Covers....Pages 39-59
Heisenberg Action and Verlinde Formulas....Pages 61-80
Hyperelliptic Curves that Generate Constant Mean Curvature Tori in ?3 ....Pages 81-114
Modular Forms as ?-Functions for Certain Integrable Reductions of the Yang-Mills Equations....Pages 115-129
The ?-Functions of the gAKNS Equations....Pages 131-145
On Segal-Wilson’s Definition of the ?-Function and Hierarchies AKNS-D and mcKP....Pages 147-161
The Boundary of Isospectral Manifolds, B?cklund Transforms and Regularization....Pages 163-177
Front Matter....Pages 179-179
The Geometry of the Full Kostant-Toda Lattice....Pages 181-225
Deformations of a Hamiltonian Action of a Compact Lie Group....Pages 227-233
Linear-Quadratic Metrics “Approximate” any Nondegenerate, Integrable Riemannian Metric on the 2-Sphere and the 2-Torus....Pages 235-237
Canonical Forms for Bihamiltonian Systems....Pages 239-249
Bihamiltonian Manifolds And Sato’s Equations....Pages 251-272
Front Matter....Pages 273-273
Generalized chiral Potts models and minimal cyclic representations of $ {U_q}(widehat {mathfrak{g}mathfrak{l}}(n,C))$ ....Pages 275-275
Infinite Discrete Symmetry Group for the Yang-Baxter Equations and their Higher Dimensional Generalizations....Pages 277-310
Front Matter....Pages 311-311
Integrable Systems and Classification of 2-Dimensional Topological Field Theories....Pages 313-359
Back Matter....Pages 361-370



Content:
Front Matter....Pages i-xii
Front Matter....Pages 37-37
Hommage `Jean-Louis Verdier : au jardin des syst?mes int?grables....Pages 1-36
Front Matter....Pages 37-37
Compactified Jacobians of Tangential Covers....Pages 39-59
Heisenberg Action and Verlinde Formulas....Pages 61-80
Hyperelliptic Curves that Generate Constant Mean Curvature Tori in ?3 ....Pages 81-114
Modular Forms as ?-Functions for Certain Integrable Reductions of the Yang-Mills Equations....Pages 115-129
The ?-Functions of the gAKNS Equations....Pages 131-145
On Segal-Wilson’s Definition of the ?-Function and Hierarchies AKNS-D and mcKP....Pages 147-161
The Boundary of Isospectral Manifolds, B?cklund Transforms and Regularization....Pages 163-177
Front Matter....Pages 179-179
The Geometry of the Full Kostant-Toda Lattice....Pages 181-225
Deformations of a Hamiltonian Action of a Compact Lie Group....Pages 227-233
Linear-Quadratic Metrics “Approximate” any Nondegenerate, Integrable Riemannian Metric on the 2-Sphere and the 2-Torus....Pages 235-237
Canonical Forms for Bihamiltonian Systems....Pages 239-249
Bihamiltonian Manifolds And Sato’s Equations....Pages 251-272
Front Matter....Pages 273-273
Generalized chiral Potts models and minimal cyclic representations of $ {U_q}(widehat {mathfrak{g}mathfrak{l}}(n,C))$ ....Pages 275-275
Infinite Discrete Symmetry Group for the Yang-Baxter Equations and their Higher Dimensional Generalizations....Pages 277-310
Front Matter....Pages 311-311
Integrable Systems and Classification of 2-Dimensional Topological Field Theories....Pages 313-359
Back Matter....Pages 361-370
....
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