## Surveys in differential geometry : integral systems |

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### Contents

Introduction | 5 |

Integrable systems in Riemannian geometry | 21 |

SeibergWitten Integrable Systems | 83 |

Copyright | |

7 other sections not shown

### Common terms and phrases

Abelian Abelian integral action of G algebraic curve Bloch coefficients cohomology commuting complex condition constant construction coordinates corresponding Coxeter Coxeter group curvature defined denote derivatives diagonal differential equations differential operator dimensional eigenfunction element equivalent field theory finite flat follows formal formula Frobenius algebra Frobenius manifold gauge theories geometry given Hamiltonian harmonic map Hence holomorphic implies integrable systems invariant inverse isomorphism j-th flow Jacobian Kahler KdV equation KdV hierarchy Lagrangian Lemma Lie algebra line bundle linear loop group Math matrix meromorphic metric mKdV moduli space N+/A+ Nahm's equations non-linear obtain orbit orthogonal parameter Phys Poisson structure poles polynomial Proposition quantum quotient r-function Riemann satisfies scattering data Si,a sine-Gordon equation singular soliton equations solution spectral curve SU(n subalgebra subspace supersymmetric surfaces symmetric symplectic form symplectic structure theta function topological torus transformations trivial unique variables vector field Whitham zero