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Toeplitz Operators on Kähler Manifolds

✍ Scribed by Tatyana Barron

Publisher
Springer International Publishing
Year
2018
Tongue
English
Leaves
89
Series
SpringerBriefs in Mathematics
Edition
1st ed.
Category
Library
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✦ Synopsis

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

Front Matter ....Pages i-x
Introduction (Tatyana Barron)....Pages 1-2
Preliminaries (Tatyana Barron)....Pages 3-27
Toeplitz Operators on the Sphere (Tatyana Barron)....Pages 29-36
Toeplitz Operators on the Torus (Tatyana Barron)....Pages 37-49
Toeplitz Operators on Multisymplectic and Hyperkähler Manifolds (Tatyana Barron)....Pages 51-77
Back Matter ....Pages 79-84

✦ Subjects

Mathematics; Operator Theory; Global Analysis and Analysis on Manifolds

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