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A Brief Introduction to Berezin¿Toeplitz Operators on Compact Kähler Manifolds (CRM Short Courses) - Hardcover
Inhaltsangabe
<P>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. </P><BR>
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Reseña del editor
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.
Biografía del autor
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.
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- VerlagSpringer International Publishing AG
- Erscheinungsdatum2018
- ISBN 10 3319946811
- ISBN 13 9783319946818
- EinbandTapa dura
- SpracheEnglisch
- Auflage1
- Anzahl der Seiten140
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A Brief Introduction to BerezinToeplitz Operators on Compact Kahler Manifolds
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A Brief Introduction to Berezin - Toeplitz Operators on Compact Kähler Manifolds.
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A Brief Introduction to Berezin-Toeplitz Operators on Compact Kaehler Manifolds
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ISBN 10: 3319946811
ISBN 13: 9783319946818
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Zustand: New. Presents the first introduction to the subject for non-specialistsRequires only a basic knowledge of differential geometry and analysisFirst chapters review the necessary geometric notions to study the field. Artikel-Nr. 226364568
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A Brief Introduction to BerezinToeplitz Operators on Compact Kähler Manifolds (CRM Short Courses)
Verlag:
Springer International Publishing, 2018
ISBN 10: 3319946811
ISBN 13: 9783319946818
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Gebundene Ausgabe. Zustand: Sehr gut. Gebraucht - Sehr gut SG - Ungelesenes Mängelexemplar, gestempelt, mit leichten Lagerspuren - 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. Artikel-Nr. INF1000548401
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A Brief Introduction to Berezin-Toeplitz Operators on Compact Kähler Manifolds
ISBN 10: 3319946811
ISBN 13: 9783319946818
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Hardcover
Anbieter: AHA-BUCH GmbH, Einbeck, Deutschland
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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Artikel-Nr. 9783319946818
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