The Breadth of Symplectic and Poisson Geometry (eBook, PDF)

Festschrift in Honor of Alan Weinstein
Redaktion: Marsden, Jerrold E.; Ratiu, Tudor S.

• Format: PDF

Produktbeschreibung

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.

---

Dieser Download kann aus rechtlichen Gründen nur mit Rechnungsadresse in A, B, BG, CY, CZ, D, DK, EW, E, FIN, F, GR, HR, H, IRL, I, LT, L, LR, M, NL, PL, P, R, S, SLO, SK ausgeliefert werden.

Produktdetails

• Verlag: Birkhäuser Boston
• Seitenzahl: 654
• Erscheinungstermin: 3. Juli 2007
• Englisch
• ISBN-13: 9780817644192
• Artikelnr.: 37351571

Autorenporträt

Jerrold E. Marsden, California Institute of Technology, Pasadena, USA / Tudor S. Ratiu, Ecole Polytechnique Fédérale de Lausanne, Switzerland

Inhaltsangabe

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.

Rezensionen

"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