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Softcover ISBN:  9780821832011 
Product Code:  CONM/315 
List Price:  $130.00 
MAA Member Price:  $117.00 
AMS Member Price:  $104.00 
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Product Code:  CONM/315.E 
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MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
Softcover ISBN:  9780821832011 
eBook ISBN:  9780821879054 
Product Code:  CONM/315.B 
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Book DetailsContemporary MathematicsVolume: 315; 2002; 280 ppMSC: Primary 53; 46; 17; 18; 58
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.
ReadershipGraduate students and research mathematicians interested in mathematical physics, differential geometry, and algebraic topology.

Table of Contents

Articles

Boris Fedosov — Deformation quantization: pro and contra [ MR 1958826 ]

N. P. Landsman — Quantization as a functor [ MR 1958827 ]

Hideki Omori, Yoshiaki Maeda, Naoya Miyazaki and Akira Yoshioka — Star exponential functions for quadratic forms and polar elements [ MR 1958828 ]

John Rawnsley — On traces for differential star products on symplectic manifolds [ MR 1958829 ]

Joseph Donin — Quantum $G$manifolds [ MR 1958830 ]

J. Donin and A. Mudrov — ${\scr U}_q({\rm sl}(n))$covariant quantization of symmetric coadjoint orbits via reflection equation algebra [ MR 1958831 ]

Olga Radko — Toward a classification of Poisson structures on surfaces [ MR 1958832 ]

J. D. S. Jones — Lectures on operads [ MR 1958833 ]

Theodore Voronov — Graded manifolds and Drinfeld doubles for Lie bialgebroids [ MR 1958834 ]

Dmitry Roytenberg — On the structure of graded symplectic supermanifolds and Courant algebroids [ MR 1958835 ]

K. C. H. Mackenzie — On certain canonical diffeomorphisms in symplectic and Poisson geometry [ MR 1958836 ]

Hovhannes M. Khudaverdian — Laplacians in odd symplectic geometry [ MR 1958837 ]

Y. KosmannSchwarzbach and K. C. H. Mackenzie — Differential operators and actions of Lie algebroids [ MR 1958838 ]

Longguang He, ZhangJu Liu and DeShou Zhong — Poisson actions and Lie bialgebroid morphisms [ MR 1958839 ]

A. S. Dzhumadil′daev — Identities and derivations for Jacobian algebras [ MR 1958840 ]


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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.
Graduate students and research mathematicians interested in mathematical physics, differential geometry, and algebraic topology.

Articles

Boris Fedosov — Deformation quantization: pro and contra [ MR 1958826 ]

N. P. Landsman — Quantization as a functor [ MR 1958827 ]

Hideki Omori, Yoshiaki Maeda, Naoya Miyazaki and Akira Yoshioka — Star exponential functions for quadratic forms and polar elements [ MR 1958828 ]

John Rawnsley — On traces for differential star products on symplectic manifolds [ MR 1958829 ]

Joseph Donin — Quantum $G$manifolds [ MR 1958830 ]

J. Donin and A. Mudrov — ${\scr U}_q({\rm sl}(n))$covariant quantization of symmetric coadjoint orbits via reflection equation algebra [ MR 1958831 ]

Olga Radko — Toward a classification of Poisson structures on surfaces [ MR 1958832 ]

J. D. S. Jones — Lectures on operads [ MR 1958833 ]

Theodore Voronov — Graded manifolds and Drinfeld doubles for Lie bialgebroids [ MR 1958834 ]

Dmitry Roytenberg — On the structure of graded symplectic supermanifolds and Courant algebroids [ MR 1958835 ]

K. C. H. Mackenzie — On certain canonical diffeomorphisms in symplectic and Poisson geometry [ MR 1958836 ]

Hovhannes M. Khudaverdian — Laplacians in odd symplectic geometry [ MR 1958837 ]

Y. KosmannSchwarzbach and K. C. H. Mackenzie — Differential operators and actions of Lie algebroids [ MR 1958838 ]

Longguang He, ZhangJu Liu and DeShou Zhong — Poisson actions and Lie bialgebroid morphisms [ MR 1958839 ]

A. S. Dzhumadil′daev — Identities and derivations for Jacobian algebras [ MR 1958840 ]