東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Structure and regularity of group ac...

Kim, Sang-hyun.

FindBook

Google Book

Amazon

博客來

Structure and regularity of group actions on one-manifolds

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Structure and regularity of group actions on one-manifolds/ by Sang-hyun Kim, Thomas Koberda.
作者:	Kim, Sang-hyun.
其他作者:	Koberda, Thomas.
出版者:	Cham :Springer International Publishing : : 2021.,
面頁冊數:	xiv, 323 p. :ill., digital ;24 cm.
內容註:	1. Introduction -- 2. Denjoy's Theorem and Exceptional Diffeomorphisms of the Circle -- 3. Full Diffeomorphism Groups Determine the Diffeomorphism Class of a Manifold -- 4. The C1 and C2 Theory of Diffeomorphism Groups -- 5. Chain Groups -- 6. The Slow Progress Lemma -- 7. Algebraic Obstructions for General Regularities -- 8. Applications -- A. Concave Moduli of Continuity -- B. Orderability and Holder's Theorem -- C. The Thurston Stability Theorem -- Index.
Contained By:	Springer Nature eBook
標題:	Diffeomorphisms. -
電子資源:	https://doi.org/10.1007/978-3-030-89006-3
ISBN:	9783030890063

Structure and regularity of group actions on one-manifolds
Kim, Sang-hyun.

Structure and regularity of group actions on one-manifolds[electronic resource] /by Sang-hyun Kim, Thomas Koberda. - Cham :Springer International Publishing :2021. - xiv, 323 p. :ill., digital ;24 cm. - Springer monographs in mathematics,2196-9922. - Springer monographs in mathematics..

1. Introduction -- 2. Denjoy's Theorem and Exceptional Diffeomorphisms of the Circle -- 3. Full Diffeomorphism Groups Determine the Diffeomorphism Class of a Manifold -- 4. The C1 and C2 Theory of Diffeomorphism Groups -- 5. Chain Groups -- 6. The Slow Progress Lemma -- 7. Algebraic Obstructions for General Regularities -- 8. Applications -- A. Concave Moduli of Continuity -- B. Orderability and Holder's Theorem -- C. The Thurston Stability Theorem -- Index.

This book presents the theory of optimal and critical regularities of groups of diffeomorphisms, from the classical work of Denjoy and Herman, up through recent advances. Beginning with an investigation of regularity phenomena for single diffeomorphisms, the book goes on to describes a circle of ideas surrounding Filipkiewicz's Theorem, which recovers the smooth structure of a manifold from its full diffeomorphism group. Topics covered include the simplicity of homeomorphism groups, differentiability of continuous Lie group actions, smooth conjugation of diffeomorphism groups, and the reconstruction of spaces from group actions. Various classical and modern tools are developed for controlling the dynamics of general finitely generated group actions on one-dimensional manifolds, subject to regularity bounds, including material on Thompson's group F, nilpotent groups, right-angled Artin groups, chain groups, finitely generated groups with prescribed critical regularities, and applications to foliation theory and the study of mapping class groups. The book will be of interest to researchers in geometric group theory.

ISBN: 9783030890063

Standard No.: 10.1007/978-3-030-89006-3doiSubjects--Topical Terms:

699703
Diffeomorphisms.

LC Class. No.: QA613.65 / .K55 2021

Dewey Class. No.: 516.07

Structure and regularity of group actions on one-manifolds
LDR:02659nmm 22003375a 4500 001 2258938
003 DE-He213
005 20211119062204.0
006 m d
007 cr nn 008maaau
008 220422s2021 sz s 0 eng d
020 $a 9783030890063 $q (electronic bk.)
020 $a 9783030890056 $q (paper)
024 7 $a 10.1007/978-3-030-89006-3 $2 doi
035 $a 978-3-030-89006-3
040 $a GP $c GP
041 0 $a eng
050 4 $a QA613.65 $b .K55 2021
072 7 $a PBG $2 bicssc
072 7 $a MAT002010 $2 bisacsh
072 7 $a PBG $2 thema
082 0 4 $a 516.07 $2 23
090 $a QA613.65 $b .K49 2021
100 1 $a Kim, Sang-hyun. $3 3470109
245 1 0 $a Structure and regularity of group actions on one-manifolds $h [electronic resource] / $c by Sang-hyun Kim, Thomas Koberda.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2021.
300 $a xiv, 323 p. : $b ill., digital ; $c 24 cm.
490 1 $a Springer monographs in mathematics, $x 2196-9922
505 0 $a 1. Introduction -- 2. Denjoy's Theorem and Exceptional Diffeomorphisms of the Circle -- 3. Full Diffeomorphism Groups Determine the Diffeomorphism Class of a Manifold -- 4. The C1 and C2 Theory of Diffeomorphism Groups -- 5. Chain Groups -- 6. The Slow Progress Lemma -- 7. Algebraic Obstructions for General Regularities -- 8. Applications -- A. Concave Moduli of Continuity -- B. Orderability and Holder's Theorem -- C. The Thurston Stability Theorem -- Index.
520 $a This book presents the theory of optimal and critical regularities of groups of diffeomorphisms, from the classical work of Denjoy and Herman, up through recent advances. Beginning with an investigation of regularity phenomena for single diffeomorphisms, the book goes on to describes a circle of ideas surrounding Filipkiewicz's Theorem, which recovers the smooth structure of a manifold from its full diffeomorphism group. Topics covered include the simplicity of homeomorphism groups, differentiability of continuous Lie group actions, smooth conjugation of diffeomorphism groups, and the reconstruction of spaces from group actions. Various classical and modern tools are developed for controlling the dynamics of general finitely generated group actions on one-dimensional manifolds, subject to regularity bounds, including material on Thompson's group F, nilpotent groups, right-angled Artin groups, chain groups, finitely generated groups with prescribed critical regularities, and applications to foliation theory and the study of mapping class groups. The book will be of interest to researchers in geometric group theory.
650 0 $a Diffeomorphisms. $3 699703
650 0 $a Manifolds (Mathematics) $3 612607
650 1 4 $a Group Theory and Generalizations. $3 893889
650 2 4 $a Topological Groups, Lie Groups. $3 891005
650 2 4 $a Topology. $3 522026
650 2 4 $a Order, Lattices, Ordered Algebraic Structures. $3 896039
700 1 $a Koberda, Thomas. $3 3470110
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Springer monographs in mathematics. $3 1535313
856 4 0 $u https://doi.org/10.1007/978-3-030-89006-3
950 $a Mathematics and Statistics (SpringerNature-11649)