Read more
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.
List of contents
From the contents:Preface.- Academic Genealogy of Alan Weinstein.- About Alan Weinstein.- Bursztyn/Crainic: Dirac structures, momentum maps, and quasi-Poisson manifolds.- Cahen/Gutt/Schwachhöfer: Construction of Ricci-type connections by reduction and induction.- Duistermaat: A mathematical model for geomagnetic reversals.- Ehlers/Koiller/Montgomery/Rios: Nonholonomic systems via moving frames: Cartan equivalence and Chaplygin Hamiltonization.- Evens/Lu: Thompson s conjecture for real semisimple Lie group.- Ginzburg: The Weinstein conjecture and theorems of nearby and almost existence.- Givental/Milanov: Simple singularities and integrable hierarchies.- Holm/Marsden: Mmentum maps and measure-valued solutions (peakons, filaments, andsheets) for the EPDiff equation.- Huebschmann: Higher homotopies and Maurer-Cartan algebras: Quasi-Lie-Rinehart, Gerstenhaber, and Batalin-Vilkovisky algebras.- Jeffrey/Kogan: Localization theorems by symplectic cuts.
Summary
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.
Additional text
"This volume will certainly be useful to a broad audience including people interested in fields such as differential geometry, mechanics, differential equations and Lie theory." ---Revue Roumaine de Mathématiques Pures et Appliquées
