**Contemporary Mathematics**

Volume: 462;
2008;
143 pp;
Softcover

MSC: Primary 53; 14; 47; 46;

Print ISBN: 978-0-8218-4147-1

Product Code: CONM/462

List Price: $53.00

Individual Member Price: $42.40

**Electronic ISBN: 978-0-8218-8141-5
Product Code: CONM/462.E**

List Price: $53.00

Individual Member Price: $42.40

# Non-commutative Geometry in Mathematics and Physics

Share this page *Edited by *
*Giuseppe Dito; Hugo García-Compeán; Ernesto Lupercio; Francisco J. Turrubiates*

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.

#### Table of Contents

# Table of Contents

## Non-commutative Geometry in Mathematics and Physics

- Contents v6 free
- Foreword vii8 free
- XI Solomon Lefschetz Memorial Lecture Series: Hodge structures in non-commutative geometry 110 free
- Hopfish structure and modules over irrational rotation algebras 2332
- Deformations and quantizations, an introductory overview 4150
- SDYM and heavenly equations in deformation quantization 5564
- On a possible construction of noncommutative topological invariants 7382
- On coherent states for spaces of holomorphic functions related to the hydrogen atom problem in dimensions n = 2, 3, 5 8796
- Noncommutativity from canonical and noncanonical structures 105114
- Commutative algebras of Toeplitz operators and Berezin quantization 125134

#### Readership

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