-PDF Download- A Brief Introduction To Berezin Toeplitz Operators On Compact Kahler Manifolds EBOOK

A Brief Introduction to Berezin–Toeplitz Operators on Compact Kähler Manifolds

Author: Yohann Le Floch

Publisher: Springer

Published: 2018-09-19

Total Pages: 142

ISBN-13: 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.

A Brief Introduction to Berezin-Toeplitz Operators on Compact Kähler Manifolds

Author: Yohann Le Floch

Publisher:

Published: 2018

Total Pages: 140

ISBN-13: 9783319946832

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Toeplitz Operators on Kähler Manifolds

Author: Tatyana Barron

Publisher: Springer

Published: 2018-07-24

Total Pages: 84

ISBN-13: 3319942921

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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.

Deformation Quantization of Compact Kähler Manifolds Via Berezin-Toeplitz Operators

Author: Martin Schlichenmaier

Publisher:

Published: 1996

Total Pages: 2

ISBN-13:

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Berezin-Toeplitz Quantization and Berezin Symbols for Arbitrary Compact Kähler Manifolds

Author: Martin Schlichenmaier

Publisher:

Published: 1999

Total Pages: 22

ISBN-13:

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Long Time Behaviour Of Classical And Quantum Systems - Proceedings Of The Bologna Aptex International Conference

Author: Sandro Graffi

Publisher: World Scientific

Published: 2001-04-02

Total Pages: 299

ISBN-13: 9814491535

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This book is centered on the two minicourses conducted by C Liverani (Rome) and J Sjoestrand (Paris) on the return to equilibrium in classical statistical mechanics and the location of quantum resonances via semiclassical analysis, respectively. The other contributions cover related topics of classical and quantum mechanics, such as scattering theory, classical and quantum statistical mechanics, dynamical localization, quantum chaos, ergodic theory and KAM techniques.

Long Time Behaviour of Classical and Quantum Systems

Author: Sandro Graffi

Publisher: World Scientific

Published: 2001

Total Pages: 299

ISBN-13: 9810245556

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Deformation Quantization of Compact Kähler Manifolds by Berezin-Toeplitz Quantization

Author: Martin Schlichenmaier

Publisher:

Published: 1999

Total Pages: 34

ISBN-13:

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Recent Advances in Algebraic Geometry

Author: Christopher D. Hacon

Publisher: Cambridge University Press

Published: 2015-01-15

Total Pages: 451

ISBN-13: 131619583X

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Contemporary research in algebraic geometry is the focus of this collection, which presents articles on modern aspects of the subject. The list of topics covered is a roll-call of some of the most important and active themes in this thriving area of mathematics: the reader will find articles on birational geometry, vanishing theorems, complex geometry and Hodge theory, free resolutions and syzygies, derived categories, invariant theory, moduli spaces, and related topics, all written by leading experts. The articles, which have an expository flavour, present an overall picture of current research in algebraic geometry, making this book essential for researchers and graduate students. This volume is the outcome of the conference Recent Advances in Algebraic Geometry, held in Ann Arbor, Michigan, to honour Rob Lazarsfeld's many contributions to the subject on the occasion of his 60th birthday.

Singular Integral Operators, Factorization and Applications

Author: Albrecht Böttcher

Publisher: Birkhäuser

Published: 2012-12-06

Total Pages: 393

ISBN-13: 3034880073

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This volume contains the proceedings of the International Workshop on Operator Theory and Applications held at the University of Algarve in Faro, Portugal, September 12-15, in the year 2000. The main topics of the conference were !> Factorization Theory; !> Factorization and Integrable Systems; !> Operator Theoretical Methods in Diffraction Theory; !> Algebraic Techniques in Operator Theory; !> Applications to Mathematical Physics and Related Topics. A total of 94 colleagues from 21 countries participated in the conference. The major part of participants came from Portugal (32), Germany (17), Israel (6), Mexico (6), the Netherlands (5), USA (4) and Austria (4). The others were from Ukraine, Venezuela (3 each), Spain, Sweden (2 each), Algeria, Australia, Belorussia, France, Georgia, Italy, Japan, Kuwait, Russia and Turkey (one of each country). It was the 12th meeting in the framework of the IWOTA conferences which started in 1981 on an initiative of Professors 1. Gohberg (Tel Aviv) and J. W. Helton (San Diego). Up to now, it was the largest conference in the field of Operator Theory in Portugal.