ENGLISH

Toeplitz Operators on Kähler Manifolds

By Tatyana Barron

Book information

Publisher
Springer International Publishing
Year
2018
ISBN
978-3-319-94291-9, 978-3-319-94292-6
Language
english
Format
PDF
Filesize
1 MB (1202867 bytes)
Series
SpringerBriefs in Mathematics
Edition
1st ed.
Pages
X, 84\89
Time added
2018-08-15 07:07:45
Mathematics; Operator Theory; Global Analysis and

Description

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. 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

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