AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution
Symplectic Geometry and Quantization
About this Title
Yoshiaki Maeda, Hideki Omori and Alan Weinstein, Editors
Publication: Contemporary Mathematics
Publication Year:
1994; Volume 179
ISBNs: 978-0-8218-0302-8 (print); 978-0-8218-7770-8 (online)
DOI: https://doi.org/10.1090/conm/179
MathSciNet review: 1319598
ReadershipTable of Contents
Download chapters as PDF
Front/Back Matter
Articles
- Michel Cahen, Simone Gutt and John Rawnsley – Some remarks on the classification of Poisson Lie groups [MR 1319599]
- Pierre Dazord – Lie groups and algebras in infinite dimension: a new approach [MR 1319600]
- J. J. Duistermaat – Equivariant cohomology and stationary phase [MR 1319601]
- E. Getzler – The Bargmann representation, generalized Dirac operators and the index of pseudodifferential operators on $\textbf {R}^n$ [MR 1319602]
- Mikhail Karasev – Quantization by means of two-dimensional surfaces (membranes): geometrical formulas for wave-functions [MR 1319603]
- Mikhail Karasev – Geometric star-products [MR 1319604]
- Toshitake Kohno – Vassiliev invariants and de Rham complex on the space of knots [MR 1319605]
- Hiroshi Konno – Geometry of loop groups and Wess-Zumino-Witten models [MR 1319606]
- Tetsuya Masuda and Hideki Omori – The noncommutative algebra of the quantum group $\textrm {SU}_q(2)$ as a quantized Poisson manifold [MR 1319607]
- Kentaro Mikami – Symplectic and Poisson structures on some loop groups [MR 1319608]
- Hitoshi Moriyoshi – The Euler and Godbillon-Vey forms and symplectic structures on $\textrm {Diff}^\infty _+(S^1)/\textrm {SO}(2)$ [MR 1319609]
- Yoshimasa Nakamura – A tau-function for the finite Toda molecule, and information spaces [MR 1319610]
- Hideki Omori, Yoshiaki Maeda and Akira Yoshioka – Deformation quantizations of Poisson algebras [MR 1319611]
- Kaoru Ono and Stephan Stolz – An analogue of Edmonds’ theorem for loop spaces [MR 1319612]
- Alan Weinstein – Traces and triangles in symmetric symplectic spaces [MR 1319613]
- Stanisław Zakrzewski – Geometric quantization of Poisson groups—diagonal and soft deformations [MR 1319614]