1.

Record Nr.

UNINA9910300100503321

Autore

Barron Tatyana

Titolo

Toeplitz Operators on Kähler Manifolds : Examples / / by Tatyana Barron

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018

ISBN

3-319-94292-1

Edizione

[1st ed. 2018.]

Descrizione fisica

1 online resource (X, 84 p.)

Collana

SpringerBriefs in Mathematics, , 2191-8198

Disciplina

515.7246

Soggetti

Operator theory

Global analysis (Mathematics)

Manifolds (Mathematics)

Operator Theory

Global Analysis and Analysis on Manifolds

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

Introduction -- Preliminaries -- Toeplitz Opreators on the Sphere -- Toeplitz Operators on the Torus -- Toeplitz Operators on Multisymplectic and Hyperkähler Manifolds.

Sommario/riassunto

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. .