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Toeplitz Operators on Kähler Manifolds

Examples

  • Tatyana Barron

Part of the SpringerBriefs in Mathematics book series (BRIEFSMATH)

Table of contents

  1. Front Matter
    Pages i-x
  2. Tatyana Barron
    Pages 1-2
  3. Tatyana Barron
    Pages 3-27
  4. Tatyana Barron
    Pages 29-36
  5. Tatyana Barron
    Pages 37-49
  6. Back Matter
    Pages 79-84

About this book

Introduction

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.   

Keywords

Toeplitz Operator Kähler Manifold Holomorphic Hermitian Line Bundle Asymptotics Poisson Bracket Multisymplectic Manifold Hyperkähler Manifold

Authors and affiliations

  • Tatyana Barron
    • 1
  1. 1.Department of MathematicsUniversity of Western OntarioLondonCanada

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-94292-6
  • Copyright Information The Author(s), under exclusive licence to Springer Nature Switzerland AG 2018
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-94291-9
  • Online ISBN 978-3-319-94292-6
  • Series Print ISSN 2191-8198
  • Series Online ISSN 2191-8201
  • Buy this book on publisher's site