Contemporary Mathematics 2002; 280 pp; softcover Volume: 315 ISBN10: 0821832018 ISBN13: 9780821832011 List Price: US$80 Member Price: US$64 Order Code: CONM/315
 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. Readership Graduate students and research mathematicians interested in mathematical physics, differential geometry, and algebraic topology. Table of Contents  B. Fedosov  Deformation quantization: Pro and contra
 N. P. Landsman  Quantization as a functor
 H. Omori, Y. Maeda, N. Miyazaki, and A. Yoshioka  Star exponential functions for quadratic forms and polar elements
 J. Rawnsley  On traces for differential star products on symplectic manifolds
 J. Donin  Quantum \(G\)manifolds
 J. Donin and A. Mudrov  \(\mathcal{U}_q(sl(n))\)covariant quantization of symmetric coadjoint orbits via reflection equation algebra
 O. Radko  Toward a classification of Poisson structures on surfaces
 J. D. S. Jones  Lectures on operads
 T. Voronov  Graded manifolds and Drinfeld doubles for Lie bialgebroids
 D. Roytenberg  On the structure of graded symplectic supermanifolds and Courant algebroids
 K. C. H. Mackenzie  On certain canonical diffeomorphisms in symplectic and Poisson geometry
 H. M. Khudaverdian  Laplacians in odd symplectic geometry
 Y. KosmannSchwarzbach and K. C. H. Mackenzie  Differential operators and actions of Lie algebroids
 L.g. He, Z.J. Liu, and D.S. Zhong  Poisson actions and Lie bialgebroid morphisms
 A. S. Dzhumadil'daev  Identities and derivations for Jacobian algebras
