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Symplectic geometry and quantization : [electronic resource] two symposia on symplectic geometry and quantization problems, July 1993, Japan / Yoshiaki Maeda, Hideki Omori, Alan Weinstein, editors.

Contributor(s): Maeda, Yoshiaki, 1948- | Omori, Hideki, 1938- | Weinstein, Alan | Taniguchi International Symposium (31st : 1993 : Sanda, Japan)Material type: Text

TextSeries: Contemporary mathematics (American Mathematical Society) ; v. 179.Publication details: Providence, R.I. : American Mathematical Society, c1994Description: 1 online resource (ix, 285 p. : ill.)ISBN: 9780821877708 (online)Subject(s): Symplectic geometry -- Congresses | Geometric quantization -- CongressesAdditional physical formats: Symplectic geometry and quantization :DDC classification: 516.3/6 LOC classification: QA641 | .S87 1994Online resources: Contents | Contents

Contents:

Some remarks on the classification of Poisson Lie groups / Michel Cahen, Simone Gutt and John Rawnsley -- http://www.ams.org/conm/179/ http://dx.doi.org/10.1090/conm/179/01932 Lie groups and algebras in infinite dimension: a new approach / Pierre Dazord -- http://www.ams.org/conm/179/ http://dx.doi.org/10.1090/conm/179/01933 Equivariant cohomology and stationary phase / J. J. Duistermaat -- http://www.ams.org/conm/179/ http://dx.doi.org/10.1090/conm/179/01934 The Bargmann representation, generalized Dirac operators and the index of pseudodifferential operators on ${\bf R}^n$ / E. Getzler -- http://www.ams.org/conm/179/ http://dx.doi.org/10.1090/conm/179/01935 Quantization by means of two-dimensional surfaces (membranes): geometrical formulas for wave-functions / Mikhail Karasev -- http://www.ams.org/conm/179/ http://dx.doi.org/10.1090/conm/179/01947 Geometric star-products / Mikhail Karasev -- http://www.ams.org/conm/179/ http://dx.doi.org/10.1090/conm/179/01936 Vassiliev invariants and de Rham complex on the space of knots / Toshitake Kohno -- http://www.ams.org/conm/179/ http://dx.doi.org/10.1090/conm/179/01937 Geometry of loop groups and Wess-Zumino-Witten models / Hiroshi Konno -- http://www.ams.org/conm/179/ http://dx.doi.org/10.1090/conm/179/01938 The noncommutative algebra of the quantum group ${\rm SU}_q(2)$ as a quantized Poisson manifold / Tetsuya Masuda and Hideki Omori -- http://www.ams.org/conm/179/ http://dx.doi.org/10.1090/conm/179/01939 Symplectic and Poisson structures on some loop groups / Kentaro Mikami -- http://www.ams.org/conm/179/ http://dx.doi.org/10.1090/conm/179/01940 The Euler and Godbillon-Vey forms and symplectic structures on ${\rm Diff}^\infty _+(S^1)/{\rm SO}(2)$ / Hitoshi Moriyoshi -- http://www.ams.org/conm/179/ http://dx.doi.org/10.1090/conm/179/01941 A tau-function for the finite Toda molecule, and information spaces / Yoshimasa Nakamura -- http://www.ams.org/conm/179/ http://dx.doi.org/10.1090/conm/179/01942 Deformation quantizations of Poisson algebras / Hideki Omori, Yoshiaki Maeda and Akira Yoshioka -- http://www.ams.org/conm/179/ http://dx.doi.org/10.1090/conm/179/01943 An analogue of Edmonds' theorem for loop spaces / Kaoru Ono and Stephan Stolz -- http://www.ams.org/conm/179/ http://dx.doi.org/10.1090/conm/179/01944 Traces and triangles in symmetric symplectic spaces / Alan Weinstein -- http://www.ams.org/conm/179/ http://dx.doi.org/10.1090/conm/179/01945 Geometric quantization of Poisson groups -- diagonal and soft deformations / Stanis�aw Zakrzewski -- http://www.ams.org/conm/179/ http://dx.doi.org/10.1090/conm/179/01946

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Current library	Home library	Call number	Materials specified	URL	Status	Date due	Barcode
IMSc Library	IMSc Library			Link to resource	Available		EBK11461

"This volume contains refereed papers that were presented at the 31st Taniguchi International Symposium on the subject of "Symplectic Geometry and Quantization Problems" held at Sanda, Japan, from July 12-17, 1993, and a satellite symposium held at Keio University, Yokohama, Japan, from July 21-24, 1993"--T.p. verso.

Includes bibliographical references.

Some remarks on the classification of Poisson Lie groups / Michel Cahen, Simone Gutt and John Rawnsley -- Lie groups and algebras in infinite dimension: a new approach / Pierre Dazord -- Equivariant cohomology and stationary phase / J. J. Duistermaat -- The Bargmann representation, generalized Dirac operators and the index of pseudodifferential operators on ${\bf R}^n$ / E. Getzler -- Quantization by means of two-dimensional surfaces (membranes): geometrical formulas for wave-functions / Mikhail Karasev -- Geometric star-products / Mikhail Karasev -- Vassiliev invariants and de Rham complex on the space of knots / Toshitake Kohno -- Geometry of loop groups and Wess-Zumino-Witten models / Hiroshi Konno -- The noncommutative algebra of the quantum group ${\rm SU}_q(2)$ as a quantized Poisson manifold / Tetsuya Masuda and Hideki Omori -- Symplectic and Poisson structures on some loop groups / Kentaro Mikami -- The Euler and Godbillon-Vey forms and symplectic structures on ${\rm Diff}^\infty _+(S^1)/{\rm SO}(2)$ / Hitoshi Moriyoshi -- A tau-function for the finite Toda molecule, and information spaces / Yoshimasa Nakamura -- Deformation quantizations of Poisson algebras / Hideki Omori, Yoshiaki Maeda and Akira Yoshioka -- An analogue of Edmonds' theorem for loop spaces / Kaoru Ono and Stephan Stolz -- Traces and triangles in symmetric symplectic spaces / Alan Weinstein -- Geometric quantization of Poisson groups -- diagonal and soft deformations / Stanis�aw Zakrzewski --