A Brief Introduction To Berezin Toeplitz Operators On Compact Kahler Manifolds PDF Download
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Author | : Yohann Le Floch |
Publisher | : Springer |
Total Pages | : 142 |
Release | : 2018-09-19 |
Genre | : Mathematics |
ISBN | : 331994682X |
Download A Brief Introduction to Berezin–Toeplitz Operators on Compact Kähler Manifolds Book in PDF, ePub and Kindle
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.
Author | : Yohann Le Floch |
Publisher | : |
Total Pages | : 140 |
Release | : 2018 |
Genre | : Kählerian manifolds |
ISBN | : 9783319946832 |
Download A Brief Introduction to Berezin-Toeplitz Operators on Compact Kähler Manifolds Book in PDF, ePub and Kindle
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.--
Author | : Tatyana Barron |
Publisher | : Springer |
Total Pages | : 89 |
Release | : 2018-07-24 |
Genre | : Mathematics |
ISBN | : 3319942921 |
Download Toeplitz Operators on Kähler Manifolds Book in PDF, ePub and Kindle
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.
Author | : Martin Schlichenmaier |
Publisher | : |
Total Pages | : 2 |
Release | : 1996 |
Genre | : |
ISBN | : |
Download Deformation Quantization of Compact Kähler Manifolds Via Berezin-Toeplitz Operators Book in PDF, ePub and Kindle
Author | : Werner Ballmann |
Publisher | : European Mathematical Society |
Total Pages | : 190 |
Release | : 2006 |
Genre | : Mathematics |
ISBN | : 9783037190258 |
Download Lectures on Kähler Manifolds Book in PDF, ePub and Kindle
These notes are based on lectures the author gave at the University of Bonn and the Erwin Schrodinger Institute in Vienna. The aim is to give a thorough introduction to the theory of Kahler manifolds with special emphasis on the differential geometric side of Kahler geometry. The exposition starts with a short discussion of complex manifolds and holomorphic vector bundles and a detailed account of the basic differential geometric properties of Kahler manifolds. The more advanced topics are the cohomology of Kahler manifolds, Calabi conjecture, Gromov's Kahler hyperbolic spaces, and the Kodaira embedding theorem. Some familiarity with global analysis and partial differential equations is assumed, in particular in the part on the Calabi conjecture. There are appendices on Chern-Weil theory, symmetric spaces, and $L^2$-cohomology.
Author | : Martin Schlichenmaier |
Publisher | : |
Total Pages | : 22 |
Release | : 1999 |
Genre | : |
ISBN | : |
Download Berezin-Toeplitz Quantization and Berezin Symbols for Arbitrary Compact Kähler Manifolds Book in PDF, ePub and Kindle
Author | : Martin Schlichenmaier |
Publisher | : |
Total Pages | : 34 |
Release | : 1999 |
Genre | : |
ISBN | : |
Download Deformation Quantization of Compact Kähler Manifolds by Berezin-Toeplitz Quantization Book in PDF, ePub and Kindle
Author | : Jaume Amorós |
Publisher | : |
Total Pages | : 140 |
Release | : 1997 |
Genre | : Fundamental groups (Mathematics) |
ISBN | : |
Download Fundamental Groups of Compact Kahler Manifolds Book in PDF, ePub and Kindle
Author | : Sandro Graffi |
Publisher | : World Scientific |
Total Pages | : 299 |
Release | : 2001-04-02 |
Genre | : Science |
ISBN | : 9814491535 |
Download Long Time Behaviour Of Classical And Quantum Systems - Proceedings Of The Bologna Aptex International Conference Book in PDF, ePub and Kindle
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.
Author | : Sandro Graffi |
Publisher | : World Scientific |
Total Pages | : 299 |
Release | : 2001 |
Genre | : Mathematics |
ISBN | : 9810245556 |
Download Long Time Behaviour of Classical and Quantum Systems Book in PDF, ePub and Kindle
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.