The papers in this volume are based on talks given at the 2001 Manchester Meeting of the London Mathematical Society, which was followed by an international workshop on 'Quantization, Deformations, and New Homological and Categorical Methods in Mathematical Physics'. The focus is on the topics suggested by the title: Quantization in its various aspects, Poisson brackets and generalizations, and structures 'beyond', including symplectic supermanifolds, operads, Lie groupoids and Lie (bi) algebroids and algebras with $n$-ary operations. This book offers accounts of new results as well as accessible expositions useful to a broad reading audience of researchers in differential geometry, algebraic topology and mathematical physics.
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978-0-8218-3201-1 (9780821832011)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
Voronov, Theodore (Institute of Science and Technology (UMIST), University of Manchester)
Deformation quantization: Pro and contra by B. Fedosov Quantization as a functor by N. P. Landsman Star exponential functions for quadratic forms and polar elements by H. Omori, Y. Maeda, N. Miyazaki, and A. Yoshioka On traces for differential star products on symplectic manifolds by J. Rawnsley Quantum $G$-manifolds by J. Donin $\mathcal{U}_q(sl(n))$-covariant quantization of symmetric coadjoint orbits via reflection equation algebra by J. Donin and A. Mudrov Toward a classification of Poisson structures on surfaces by O. Radko Lectures on operads by J. D. S. Jones Graded manifolds and Drinfeld doubles for Lie bialgebroids by T. Voronov On the structure of graded symplectic supermanifolds and Courant algebroids by D. Roytenberg On certain canonical diffeomorphisms in symplectic and Poisson geometry by K. C. H. Mackenzie Laplacians in odd symplectic geometry by H. M. Khudaverdian Differential operators and actions of Lie algebroids by Y. Kosmann-Schwarzbach and K. C. H. Mackenzie Poisson actions and Lie bialgebroid morphisms by L.-g. He, Z.-J. Liu, and D.-S. Zhong Identities and derivations for Jacobian algebras by A. S. Dzhumadil'daev.
