| eBook ISBN: | 978-0-8218-8141-5 |
| Product Code: | CONM/462.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
| eBook ISBN: | 978-0-8218-8141-5 |
| Product Code: | CONM/462.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
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Book DetailsContemporary MathematicsVolume: 462; 2008; 143 ppMSC: Primary 53; 14; 47; 46
This volume represents the proceedings of the conference on Topics in Deformation Quantization and Non-Commutative Structures held in Mexico City in September 2005. It contains survey papers and original contributions by various experts in the fields of deformation quantization and non-commutative derived algebraic geometry in the interface between mathematics and physics.
It also contains an article based on the XI Memorial Lectures given by M. Kontsevich, which were delivered as part of the conference.
This is an excellent introductory volume for readers interested in learning about quantization as deformation, Hopf algebras, and Hodge structures in the framework of non-commutative algebraic geometry.
ReadershipGraduate students and research mathematicians interested in non-commutative algebraic geometry, deformation quantization and operator algebras.
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Table of Contents
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Articles
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Maxim Kontsevich — XI Solomon Lefschetz Memorial Lecture series: Hodge structures in non-commutative geometry [ MR 2444365 ]
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Christian Blohmann, Xiang Tang and Alan Weinstein — Hopfish structure and modules over irrational rotation algebras [ MR 2444366 ]
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Daniel Sternheimer — Deformations and quantizations, an introductory overview [ MR 2444367 ]
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Sebastian Formański and Maciej Przanowski — SDYM and heavenly equations in deformation quantization [ MR 2444368 ]
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O. Obregón, C. Ramírez and M. Sabido — On a possible construction of noncommutative topological invariants [ MR 2444369 ]
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Daniel Rojas-Sandoval and Carlos Villegas-Blas — On coherent states for spaces of holomorphic functions related to the hydrogen atom problem in dimensions $n = 2, 3, 5$ [ MR 2444370 ]
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Marcos Rosenbaum, J. David Vergara and L. Román Juárez — Noncommutativity from canonical and noncanonical structures [ MR 2444371 ]
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Nikolai Vasilevski — Commutative algebras of Toeplitz operators and Berezin quantization [ MR 2444372 ]
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Additional Material
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This volume represents the proceedings of the conference on Topics in Deformation Quantization and Non-Commutative Structures held in Mexico City in September 2005. It contains survey papers and original contributions by various experts in the fields of deformation quantization and non-commutative derived algebraic geometry in the interface between mathematics and physics.
It also contains an article based on the XI Memorial Lectures given by M. Kontsevich, which were delivered as part of the conference.
This is an excellent introductory volume for readers interested in learning about quantization as deformation, Hopf algebras, and Hodge structures in the framework of non-commutative algebraic geometry.
Graduate students and research mathematicians interested in non-commutative algebraic geometry, deformation quantization and operator algebras.
-
Articles
-
Maxim Kontsevich — XI Solomon Lefschetz Memorial Lecture series: Hodge structures in non-commutative geometry [ MR 2444365 ]
-
Christian Blohmann, Xiang Tang and Alan Weinstein — Hopfish structure and modules over irrational rotation algebras [ MR 2444366 ]
-
Daniel Sternheimer — Deformations and quantizations, an introductory overview [ MR 2444367 ]
-
Sebastian Formański and Maciej Przanowski — SDYM and heavenly equations in deformation quantization [ MR 2444368 ]
-
O. Obregón, C. Ramírez and M. Sabido — On a possible construction of noncommutative topological invariants [ MR 2444369 ]
-
Daniel Rojas-Sandoval and Carlos Villegas-Blas — On coherent states for spaces of holomorphic functions related to the hydrogen atom problem in dimensions $n = 2, 3, 5$ [ MR 2444370 ]
-
Marcos Rosenbaum, J. David Vergara and L. Román Juárez — Noncommutativity from canonical and noncanonical structures [ MR 2444371 ]
-
Nikolai Vasilevski — Commutative algebras of Toeplitz operators and Berezin quantization [ MR 2444372 ]
