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Non-commutative Geometry in Mathematics and Physics
 
Edited by: Giuseppe Dito Université de Bourgogne, Dijon, Cedex, France
Hugo García-Compeán CINVESTAV Unidad Monterrey, Monterrey, Nuevo Leon, Mexico
Ernesto Lupercio CINVESTAV, Mexico City, Mexico
Francisco J. Turrubiates Institute Politenico Nacional, Mexico City, Mexico
Non-commutative Geometry in Mathematics and Physics
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
Non-commutative Geometry in Mathematics and Physics
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Non-commutative Geometry in Mathematics and Physics
Edited by: Giuseppe Dito Université de Bourgogne, Dijon, Cedex, France
Hugo García-Compeán CINVESTAV Unidad Monterrey, Monterrey, Nuevo Leon, Mexico
Ernesto Lupercio CINVESTAV, Mexico City, Mexico
Francisco J. Turrubiates Institute Politenico Nacional, Mexico City, Mexico
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
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 4622008; 143 pp
    MSC: 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.

    Readership

    Graduate students and research mathematicians interested in non-commutative algebraic geometry, deformation quantization and operator algebras.

  • Table of Contents
     
     
    • 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 ]
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 4622008; 143 pp
MSC: 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.

Readership

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 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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