Deformation Quantization of Compact Kähler Manifolds by Berezin-Toeplitz Quantization
Title | Deformation Quantization of Compact Kähler Manifolds by Berezin-Toeplitz Quantization PDF eBook |
Author | Martin Schlichenmaier |
Publisher | |
Pages | 34 |
Release | 1999 |
Genre | |
ISBN |
Deformation Quantization of Compact Kähler Manifolds Via Berezin-Toeplitz Operators
Title | Deformation Quantization of Compact Kähler Manifolds Via Berezin-Toeplitz Operators PDF eBook |
Author | Martin Schlichenmaier |
Publisher | |
Pages | 2 |
Release | 1996 |
Genre | |
ISBN |
A Brief Introduction to Berezin-Toeplitz Operators on Compact Kähler Manifolds
Title | A Brief Introduction to Berezin-Toeplitz Operators on Compact Kähler Manifolds PDF eBook |
Author | Yohann Le Floch |
Publisher | Springer |
Pages | 150 |
Release | 2019-10-16 |
Genre | |
ISBN | 9783030068981 |
This text provides a comprehensive introduction to Berezin-Toeplitz operators on compact Kähler manifolds. The heart of the book is devoted to a proof of the main properties of these operators which have been playing a significant role in various areas of mathematics such as complex geometry, topological quantum field theory, integrable systems, and the study of links between symplectic topology and quantum mechanics. The book is carefully designed to supply graduate students with a unique accessibility to the subject. The first part contains a review of relevant material from complex geometry. Examples are presented with explicit detail and computation; prerequisites have been kept to a minimum. Readers are encouraged to enhance their understanding of the material by working through the many straightforward exercises.
A Brief Introduction to Berezin-Toeplitz Operators on Compact Kähler Manifolds
Title | A Brief Introduction to Berezin-Toeplitz Operators on Compact Kähler Manifolds PDF eBook |
Author | Yohann Le Floch |
Publisher | |
Pages | 140 |
Release | 2018 |
Genre | Kählerian manifolds |
ISBN | 9783319946832 |
This text provides a comprehensive introduction to Berezin–Toeplitz operators on compact Kähler manifolds. The heart of the book is devoted to a proof of the main properties of these operators which have been playing a significant role in various areas of mathematics such as complex geometry, topological quantum field theory, integrable systems, and the study of links between symplectic topology and quantum mechanics. The book is carefully designed to supply graduate students with a unique accessibility to the subject. The first part contains a review of relevant material from complex geometry. Examples are presented with explicit detail and computation; prerequisites have been kept to a minimum. Readers are encouraged to enhance their understanding of the material by working through the many straightforward exercises.--
A Brief Introduction to Berezin–Toeplitz Operators on Compact Kähler Manifolds
Title | A Brief Introduction to Berezin–Toeplitz Operators on Compact Kähler Manifolds PDF eBook |
Author | Yohann Le Floch |
Publisher | Springer |
Pages | 142 |
Release | 2018-09-19 |
Genre | Mathematics |
ISBN | 331994682X |
This text provides a comprehensive introduction to Berezin–Toeplitz operators on compact Kähler manifolds. The heart of the book is devoted to a proof of the main properties of these operators which have been playing a significant role in various areas of mathematics such as complex geometry, topological quantum field theory, integrable systems, and the study of links between symplectic topology and quantum mechanics. The book is carefully designed to supply graduate students with a unique accessibility to the subject. The first part contains a review of relevant material from complex geometry. Examples are presented with explicit detail and computation; prerequisites have been kept to a minimum. Readers are encouraged to enhance their understanding of the material by working through the many straightforward exercises.
Berezin-Toeplitz Quantization and Berezin Symbols for Arbitrary Compact Kähler Manifolds
Title | Berezin-Toeplitz Quantization and Berezin Symbols for Arbitrary Compact Kähler Manifolds PDF eBook |
Author | Martin Schlichenmaier |
Publisher | |
Pages | 22 |
Release | 1999 |
Genre | |
ISBN |
Mathematical Aspects of Quantization
Title | Mathematical Aspects of Quantization PDF eBook |
Author | Sam Evens |
Publisher | American Mathematical Soc. |
Pages | 321 |
Release | 2012 |
Genre | Mathematics |
ISBN | 0821875736 |
This book is a collection of expository articles from the Center of Mathematics at Notre Dame's 2011 program on quantization. Included are lecture notes from a summer school on quantization on topics such as the Cherednik algebra, geometric quantization, detailed proofs of Willwacher's results on the Kontsevich graph complex, and group-valued moment maps. This book also includes expository articles on quantization and automorphic forms, renormalization, Berezin-Toeplitz quantization in the complex setting, and the commutation of quantization with reduction, as well as an original article on derived Poisson brackets. The primary goal of this volume is to make topics in quantization more accessible to graduate students and researchers.