The Breadth of Symplectic and Poisson Geometry [electronic resource] : Festschrift in Honor of Alan Weinstein / edited by Jerrold E. Marsden, Tudor S. Ratiu.
Contributor(s): Marsden, Jerrold E [editor.]  Ratiu, Tudor S [editor.]  SpringerLink (Online service).
Material type: TextSeries: Progress in Mathematics: 232Publisher: Boston, MA : Birkhäuser Boston, 2005Description: XXIII, 654 p. 30 illus. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9780817644192.Subject(s): Global differential geometry  Topological Groups  Mathematical physics  Geometry  Differential Geometry  Topological Groups, Lie Groups  Mathematical Methods in Physics  GeometryAdditional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification: 516.36 Online resources: Click here to access onlineItem type  Current location  Call number  Status  Date due  Barcode  Item holds  

EBOOKS 
ISI Library, Kolkata

Available  EB1061 
Dirac structures, momentum maps, and quasiPoisson manifolds  Construction of Riccitype connections by reduction and induction  A mathematical model for geomagnetic reversals  Nonholonomic systems via moving frames: Cartan equivalence and Chaplygin Hamiltonization  Thompson’s conjecture for real semisimple Lie groups  The Weinstein conjecture and theorems of nearby and almost existence  Simple singularities and integrable hierarchies  Momentum maps and measurevalued solutions (peakons, filaments, and sheets) for the EPDiff equation  Higher homotopies and MaurerCartan algebras: QuasiLieRinehart, Gerstenhaber, and BatalinVilkovisky algebras  Localization theorems by symplectic cuts  Refinements of the Morse stratification of the normsquare of the moment map  Quasi, twisted, and all that... in Poisson geometry and Lie algebroid theory  Minimal coadjoint orbits and symplectic induction  Quantization of prequasisymplectic groupoids and their Hamiltonian spaces  Duality and triple structures  Star exponential functions as twovalued elements  From momentum maps and dual pairs to symplectic and Poisson groupoids  Construction of spectral invariants of Hamiltonian paths on closed symplectic manifolds  The universal covering and covered spaces of a symplectic Lie algebra action  Poisson homotopy algebra: An idiosyncratic survey of homotopy algebraic topics related to Alan’s interests  Dirac submanifolds of Jacobi manifolds  Quantum maps and automorphisms.
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 wellrecognized 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. Intended for graduate students and working mathematicians in symplectic and Poisson geometry as well as mechanics, this text is a distillation of prominent research and an indication of the future trends and directions in geometry, mechanics, and mathematical physics. Contributors: H. Bursztyn, M. Cahen, M. Crainic, J. J. Duistermaat, K. Ehlers, S. Evens, V. L. Ginzburg, A. B. Givental, S. Gutt, D. D. Holm, J. Huebschmann, L. Jeffrey, F. Kirwan, M. Kogan, J. Koiller, Y. KosmannSchwarzbach, B. Kostant, C. LaurentGengoux, JH. Lu, J. E. Marsden, K. C. H. Mackenzie, Y. Maeda, CM. Marle, T. E. Milanov, N. Miyazaki, R. Montgomery, YG. Oh, JP. Ortega, H. Omori, T. S. Ratiu, P. M. Rios, L. Schwachhöfer, J. Stasheff, I. Vaisman, A. Yoshioka, P. Xu, and S. Zelditch.
There are no comments for this item.