Foliations and the geometry of 3-manifolds / Danny Calegari.

Format:

Book

Author/Creator:

Calegari, Danny, author.

Series:

Oxford mathematical monographs.

Oxford scholarship online.

Oxford mathematical monographs

Oxford scholarship online

Language:

English

Subjects (All):

Foliations (Mathematics).

Three-manifolds (Topology).

Physical Description:

1 online resource (378 p.)

Edition:

1st ed.

Place of Publication:

Oxford : Oxford University Press, 2023.

Language Note:

English

Summary:

This unique reference, aimed at research topologists, gives an exposition of the 'pseudo-Anosov' theory of foliations of three-manifolds. This theory generalises Thurston's theory of surface automorphisms and reveals an intimate connection between dynamics, geometry and topology in three dimensions.

Contents:

Preface; Acknowledgements; Contents; 1 Surface bundles; 2 The topology of S[sup(1)]; 3 Minimal surfaces; 4 Taut foliations; 5 Finite depth foliations; 6 Essential laminations; 7 Universal circles; 8 Constructing transverse laminations; 9 Slitherings and other foliations; 10 Peano curves; References; Index

Notes:

Formerly CIP.

Previously issued in print: 2007.

Includes bibliographical references and index.

Derived record based on print version record and publisher information.

ISBN:

0-19-169380-4

1-281-16037-7

9786611160371

0-19-152463-8

1-4356-2094-1

OCLC:

437093557