000 03686nam a22004813i 4500
001 EBC5295217
003 MiAaPQ
005 20240729131757.0
006 m o d |
007 cr cnu||||||||
008 240724s1994 xx o ||||0 eng d
020 _a9780821877708
_q(electronic bk.)
020 _z9780821803028
035 _a(MiAaPQ)EBC5295217
035 _a(Au-PeEL)EBL5295217
035 _a(OCoLC)1037820114
040 _aMiAaPQ
_beng
_erda
_epn
_cMiAaPQ
_dMiAaPQ
050 4 _aQA641 .S87 1994
082 0 _a516.3/6
100 1 _aMaeda, Yoshiaki.
245 1 0 _aSymplectic Geometry and Quantization.
250 _a1st ed.
264 1 _aProvidence :
_bAmerican Mathematical Society,
_c1994.
264 4 _c©1994.
300 _a1 online resource (298 pages)
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aContemporary Mathematics Series ;
_vv.179
505 0 _aIntro -- Contents -- Preface -- Some remarks on the classification of Poisson Lie groups -- Lie groups and algebras in infinite dimension: A new approach -- Equivariant cohomology and statidnary phase -- The Bargmann representation, generalized Dirac operators, and the index of pseudodifferential operators on Rn -- Quantization by means of two-dimensional surfaces (membranes): Geometrical formulas for wave-functions -- Geometric star products -- Vassiliev invariants and de Rham complex on the space of knots -- Geometry of loop groups and Wess-Zumino-Witten models -- The noncommutative algebra of the quantum group SUq(2) as a quantized Poisson manifold -- Symplectic and Poisson structures on some loop groups -- The Euler and Godbillon-Vey forms and symplectic structures on Dif f∞+(S1)/SO(2) -- A Tau-function for the finite Toda molecule, and information spaces -- Deformation quantizations of Poisson algebras -- An analogue of Edmonds' theorem for loop spaces -- Traces and triangles in symmetric symplectic space -- Geometric quantization of Poisson groups&amp -- #8212 -- Diagonal and soft deformations.
520 _aThis volume contains the refereed proceedings of two symposia on symplectic geometry and quantization problems which were held in Japan in July 1993. The purpose of the symposia was to discuss recent progress in a range of related topics in symplectic geometry and mathematical physics, including symplectic groupoids, geometric quantization, noncommutative differential geometry, equivariant cohomology, deformation quantization, topological quantum field theory, and knot invariants. The book provides insight into how these different topics relate to one another and offers intriguing new problems. Providing a look at the frontier of research in symplectic geometry and quantization, this book is suitable as a source book for a seminar in symplectic geometry.
588 _aDescription based on publisher supplied metadata and other sources.
590 _aElectronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650 0 _aSymplectic geometry-Congresses.
650 0 _aGeometric quantization-Congresses.
655 4 _aElectronic books.
700 1 _aOmori, Hideki.
700 1 _aWeinstein, Alan.
776 0 8 _iPrint version:
_aMaeda, Yoshiaki
_tSymplectic Geometry and Quantization
_dProvidence : American Mathematical Society,c1994
_z9780821803028
797 2 _aProQuest (Firm)
830 0 _aContemporary Mathematics Series
856 4 0 _uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=5295217
_zClick to View
999 _c136266
_d136266