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Symplectic Geometry and Quantization.
This 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 sym...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence :
American Mathematical Society,
1994.
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| Colección: | Contemporary Mathematics Ser.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Intro; 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 manifoldSymplectic and Poisson structures on some loop groups; The Euler and Godbillon-Vey forms and symplectic structures on Dif fâ#x88;#x9E;+(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-Diagonal and soft deformations.