國立高雄大學圖資館 |

語系: 繁體中文

說明(常見問題)

圖資館首頁

登入

回首頁 到查詢結果 [ subject:"Several Complex Variables and Analytic Spaces." ]

切換: 標籤 | MARC模式 | ISBD

A brief introduction to Berezin-Toep...

Le Floch, Yohann.

A brief introduction to Berezin-Toeplitz operators on compact Kahler Manifolds

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	A brief introduction to Berezin-Toeplitz operators on compact Kahler Manifoldsby Yohann Le Floch.
作者:	Le Floch, Yohann.
出版者:	Cham :Springer International Publishing :2018.
面頁冊數:	viii, 140 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Kahlerian manifolds.
電子資源:	https://doi.org/10.1007/978-3-319-94682-5
ISBN:	9783319946825$q(electronic bk.)

A brief introduction to Berezin-Toeplitz operators on compact Kahler Manifolds
Le Floch, Yohann.

A brief introduction to Berezin-Toeplitz operators on compact Kahler Manifolds[electronic resource] /by Yohann Le Floch. - Cham :Springer International Publishing :2018. - viii, 140 p. :ill., digital ;24 cm. - CRM short courses,2522-5200. - CRM short courses..

Preface -- 1. Introduction -- 2. A short introduction to Kahler manifolds -- 3. Complex line bundles with connections -- 4. Quantization of compact Kahler manifolds -- 5. Berezin-Toeplitz operators -- 6. Schwartz kernels -- 7. Asymptotics of the projector Pi_k -- 8. Proof of product and commutator estimates -- 9. Coherent states and norm correspondence -- A. The circle bundle point of view -- Bibliography.

This text provides a comprehensive introduction to Berezin-Toeplitz operators on compact Kahler manifolds. The heart of the book is devoted to a proof of the main properties of these operators which have been playing a significant role in various areas of mathematics such as complex geometry, topological quantum field theory, integrable systems, and the study of links between symplectic topology and quantum mechanics. The book is carefully designed to supply graduate students with a unique accessibility to the subject. The first part contains a review of relevant material from complex geometry. Examples are presented with explicit detail and computation; prerequisites have been kept to a minimum. Readers are encouraged to enhance their understanding of the material by working through the many straightforward exercises.

ISBN: 9783319946825$q(electronic bk.)

Standard No.: 10.1007/978-3-319-94682-5doiSubjects--Topical Terms:

793001
Kahlerian manifolds.

LC Class. No.: QA649 / .L445 2018

Dewey Class. No.: 516.36

A brief introduction to Berezin-Toeplitz operators on compact Kahler Manifolds
LDR:02281nmm a2200337 a 4500 001 544743
003 DE-He213
005 20190315113919.0
006 m d
007 cr nn 008maaau
008 190508s2018 gw s 0 eng d
020 $a 9783319946825$q(electronic bk.)
020 $a 9783319946818$q(paper)
024 7 $a 10.1007/978-3-319-94682-5 $2 doi
035 $a 978-3-319-94682-5
040 $a GP $c GP
041 0 $a eng
050 4 $a QA649 $b .L445 2018
072 7 $a PBMP $2 bicssc
072 7 $a MAT012030 $2 bisacsh
072 7 $a PBMP $2 thema
082 0 4 $a 516.36 $2 23
090 $a QA649 $b .L493 2018
100 1 $a Le Floch, Yohann. $3 823432
245 1 2 $a A brief introduction to Berezin-Toeplitz operators on compact Kahler Manifolds $h [electronic resource] / $c by Yohann Le Floch.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2018.
300 $a viii, 140 p. : $b ill., digital ; $c 24 cm.
490 1 $a CRM short courses, $x 2522-5200
505 0 $a Preface -- 1. Introduction -- 2. A short introduction to Kahler manifolds -- 3. Complex line bundles with connections -- 4. Quantization of compact Kahler manifolds -- 5. Berezin-Toeplitz operators -- 6. Schwartz kernels -- 7. Asymptotics of the projector Pi_k -- 8. Proof of product and commutator estimates -- 9. Coherent states and norm correspondence -- A. The circle bundle point of view -- Bibliography.
520 $a This text provides a comprehensive introduction to Berezin-Toeplitz operators on compact Kahler manifolds. The heart of the book is devoted to a proof of the main properties of these operators which have been playing a significant role in various areas of mathematics such as complex geometry, topological quantum field theory, integrable systems, and the study of links between symplectic topology and quantum mechanics. The book is carefully designed to supply graduate students with a unique accessibility to the subject. The first part contains a review of relevant material from complex geometry. Examples are presented with explicit detail and computation; prerequisites have been kept to a minimum. Readers are encouraged to enhance their understanding of the material by working through the many straightforward exercises.
650 0 $a Kahlerian manifolds. $3 793001
650 0 $a Toeplitz operators. $3 307745
650 1 4 $a Differential Geometry. $3 273785
650 2 4 $a Several Complex Variables and Analytic Spaces. $3 276692
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a CRM short courses. $3 797565
856 4 0 $u https://doi.org/10.1007/978-3-319-94682-5
950 $a Mathematics and Statistics (Springer-11649)