## The Breadth of Symplectic and Poisson Geometry: Festschrift in Honor of Alan Weinstein (Google eBook)One of the world’s foremost geometers, Alan Weinstein has made deep contributions to symplectic and differential geometry, Lie theory, mechanics, and related fields. Written in his honor, the invited papers in this volume reflect the active and vibrant research in these areas and are a tribute to Weinstein’s ongoing influence. The well-recognized contributors to this text cover a broad range of topics: Induction and reduction for systems with symmetry, symplectic geometry and topology, geometric quantization, the Weinstein Conjecture, Poisson algebra and geometry, Dirac structures, deformations for Lie group actions, Kähler geometry of moduli spaces, theory and applications of Lagrangian and Hamiltonian mechanics and dynamics, symplectic and Poisson groupoids, and quantum representations. |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

1 | |

VI | 41 |

VII | 58 |

VIII | 75 |

IX | 121 |

X | 138 |

XI | 173 |

XII | 203 |

XVI | 363 |

XVII | 391 |

XVIII | 423 |

XIX | 455 |

XX | 482 |

XXI | 493 |

XXII | 525 |

XXIII | 571 |

XIII | 236 |

XIV | 303 |

XV | 327 |

XXIV | 582 |

XXV | 603 |

XXVI | 623 |

### Common terms and phrases

A-module action automorphism bialgebroid bigraded bivector bracket canonical Cartan coadjoint cohomology commutative compact complex condition connected components consider coordinates corresponding cotangent bundle Courant algebroids deﬁned deﬁnition denote derivation diffeomorphism differential Dirac structure Dirac submanifold double vector bundles dual element equivalent equivariant example ﬁeld ﬁnite ﬁrst ﬁxed Floer homology ﬂow foliation formula function Geom given graded Hamiltonian Hence holomorphic homotopy Huebschmann induced integral invariant isomorphism Jacobi identity Lagrangian Lemma Lie algebra Lie algebroid Lie group Lie groupoid Lie–Rinehart algebra linear Marsden Math Mathematics momentum map morphism nondegenerate nonholonomic notation operator pair periodic orbits Phys Poisson manifold Poisson map Poisson structure prequantization Proof Proposition prove quantization quantum quantum cohomology quasi-Poisson reduction respect satisﬁes Section singular smooth solutions spectral symmetries symplectic groupoid symplectic manifold tangent theory Toeplitz triple vector bundle vector field Weinstein zero

### Popular passages

Page xix - Proceedings of the 1983 Beijing Symposium on Differential Geometry and Differential Equations, Science Press, Beijing, 1986, 261-289.