- Presents easy-to-follow self-contained material
- Includes examples throughout worked out in great detail, with explanations for every step
- Topic is connected to several areas of mathematics
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- About this book
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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.
- Table of contents (5 chapters)
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Introduction
Pages 1-2
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Preliminaries
Pages 3-27
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Toeplitz Operators on the Sphere
Pages 29-36
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Toeplitz Operators on the Torus
Pages 37-49
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Toeplitz Operators on Multisymplectic and Hyperkähler Manifolds
Pages 51-77
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Table of contents (5 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Toeplitz Operators on Kähler Manifolds
- Book Subtitle
- Examples
- Authors
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- Tatyana Barron
- Series Title
- SpringerBriefs in Mathematics
- Copyright
- 2018
- Publisher
- Springer International Publishing
- Copyright Holder
- The Author(s), under exclusive licence to Springer Nature Switzerland AG
- eBook ISBN
- 978-3-319-94292-6
- DOI
- 10.1007/978-3-319-94292-6
- Softcover ISBN
- 978-3-319-94291-9
- Series ISSN
- 2191-8198
- Edition Number
- 1
- Number of Pages
- X, 84
- Topics