Integrable Systems

Chapter 1 Hommage à Jean-Louis Verdier : au jardin des systèmes intégrables

Chapter 2 Compactified Jacobians of Tangential Covers

Chapter 3 Heisenberg Action and Verlinde Formulas

Chapter 4 Hyperelliptic Curves that Generate Constant Mean Curvature Tori in ℝ 3

Chapter 5 Modular Forms as τ -Functions for Certain Integrable Reductions of the Yang-Mills Equations

Chapter 6 The τ -Functions of the g AKNS Equations

Chapter 7 On Segal-Wilson’s Definition of the τ-Function and Hierarchies AKNS-D and mcKP

Chapter 8 The Boundary of Isospectral Manifolds, Bäcklund Transforms and Regularization

Chapter 9 The Geometry of the Full Kostant-Toda Lattice

Chapter 10 Deformations of a Hamiltonian Action of a Compact Lie Group

Chapter 11 Linear-Quadratic Metrics “Approximate” any Nondegenerate, Integrable Riemannian Metric on the 2-Sphere and the 2-Torus

Chapter 12 Canonical Forms for Bihamiltonian Systems

Chapter 13 Bihamiltonian Manifolds And Sato’s Equations

Chapter 14 Generalized chiral Potts models and minimal cyclic representations of $$ {U_q}(\widehat {\mathfrak{g}\mathfrak{l}}(n,C))$$

Chapter 15 Infinite Discrete Symmetry Group for the Yang-Baxter Equations and their Higher Dimensional Generalizations

Chapter 16 Integrable Systems and Classification of 2-Dimensional Topological Field Theories