Cantitate/Preț
Produs

A Brief Introduction to Berezin–Toeplitz Operators on Compact Kähler Manifolds (CRM Short Courses)

De (autor)
Notă GoodReads:
en Limba Engleză Carte Hardback – 02 Oct 2018
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.

Citește tot Restrânge

Din seria CRM Short Courses

Preț: 28537 lei

Preț vechi: 35791 lei
-20%

Puncte Express: 428

Preț estimativ în valută:
5752 6434$ 5135£

Carte tipărită la comandă

Livrare economică 23 iulie-06 august
Livrare express 25 iunie-02 iulie pentru 11293 lei

Preluare comenzi: 021 569.72.76

Specificații

ISBN-13: 9783319946818
ISBN-10: 3319946811
Pagini: 139
Dimensiuni: 155 x 235 mm
Greutate: 0.38 kg
Ediția: 1st ed. 2018
Editura: Springer
Colecția Springer
Seria CRM Short Courses

Locul publicării: Cham, Switzerland

Cuprins

Preface.- 1. Introduction.- 2. A short introduction to Kähler manifolds.- 3. Complex line bundles with connections.- 4. Quantization of compact Kähler manifolds.- 5. Berezin–Toeplitz operators.- 6. Schwartz kernels.- 7. Asymptotics of the projector Pi_k.- 8. Proof of product and commutator estimates.- 9. Coherent states and norm correspondence.- A. The circle bundle point of view.- Bibliography.

Notă biografică

Yohann Le Floch is maître de conférences at Université de Strasbourg, in the Analysis team of the Institut de Recherche Mathématique Avancée. His areas of interest are semiclassical analysis, with a focus on Berezin-Toeplitz operators, and classical and quantum integrable systems.

Textul de pe ultima copertă

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.

Caracteristici

Presents the first introduction to the subject for non-specialists

Requires only a basic knowledge of differential geometry and analysis

First chapters review the necessary geometric notions to study the field

Includes several exercises and examples serving as tutorials or exam problems