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 |
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 |
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.
Conférence Moshé Flato 1999
Title | Conférence Moshé Flato 1999 PDF eBook |
Author | Giuseppe Dito |
Publisher | Springer Science & Business Media |
Pages | 358 |
Release | 2000-07-31 |
Genre | Mathematics |
ISBN | 9780792365419 |
These two volumes constitute the Proceedings of the `Conférence Moshé Flato, 1999'. Their spectrum is wide but the various areas covered are, in fact, strongly interwoven by a common denominator, the unique personality and creativity of the scientist in whose honor the Conference was held, and the far-reaching vision that underlies his scientific activity. With these two volumes, the reader will be able to take stock of the present state of the art in a number of subjects at the frontier of current research in mathematics, mathematical physics, and physics. Volume I is prefaced by reminiscences of and tributes to Flato's life and work. It also includes a section on the applications of sciences to insurance and finance, an area which was of interest to Flato before it became fashionable. The bulk of both volumes is on physical mathematics, where the reader will find these ingredients in various combinations, fundamental mathematical developments based on them, and challenging interpretations of physical phenomena. Audience: These volumes will be of interest to researchers and graduate students in a variety of domains, ranging from abstract mathematics to theoretical physics and other applications. Some parts will be accessible to proficient undergraduate students, and even to persons with a minimum of scientific knowledge but enough curiosity.
Toeplitz Operators on Kähler Manifolds
Title | Toeplitz Operators on Kähler Manifolds PDF eBook |
Author | Tatyana Barron |
Publisher | Springer |
Pages | 89 |
Release | 2018-07-24 |
Genre | Mathematics |
ISBN | 3319942921 |
The purpose of this Brief is to give a quick practical introduction into the subject of Toeplitz operators on Kähler manifolds, via examples, worked out carefully and in detail. Necessary background is included. Several theorems on asymptotics of Toeplitz operators are reviewed and illustrated by examples, including the case of tori and the 2-dimensional sphere. Applications in the context of multisymplectic and hyperkähler geometry are discussed. The book is suitable for graduate students, advanced undergraduate students, and any researchers.