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The Breadth of Symplectic and Poisson Geometry Festschrift in Honor of Alan Weinstein /
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 We...
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Boston, MA :
Birkhäuser Boston,
2005.
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| Series: | Progress in mathematics (Boston, Mass.) ;
v. 232. |
| Subjects: | |
| Online Access: |
Full text (Wentworth users only). |
MARC
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| 245 | 1 | 4 | |a The Breadth of Symplectic and Poisson Geometry |h [electronic resource] : |b Festschrift in Honor of Alan Weinstein / |c edited by Jerrold E. Marsden, Tudor S. Ratiu. |
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| 490 | 1 | |a Progress in Mathematics ; |v 232 | |
| 505 | 0 | |a 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, and sheets) 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. | |
| 520 | |a 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. 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. Kosmann-Schwarzbach, B. Kostant, C. Laurent-Gengoux, J-H. Lu, J. E. Marsden, K. C. H. Mackenzie, Y. Maeda, C-M. Marle, T. E. Milanov, N. Miyazaki, R. Montgomery, Y-G. Oh, J-P. Ortega, H. Omori, T. S. Ratiu, P. M. Rios, L. Schwachhöfer, J. Stasheff, I. Vaisman, A. Yoshioka, P. Xu, and S. Zelditch. | ||
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