Foliations and the Geometry of 3-Manifolds

Name: Foliations and the Geometry of 3-Manifolds
Brand: Oxford University Press
Price: 123.89 EUR
Availability: OnlineOnly

CALEGARI DANNY(Autor*in)

Oxford University Press

1. Auflage

Erschienen am 17. Mai 2007

378 Seiten

E-Book

PDF mit Adobe-DRM

Systemvoraussetzungen

978-0-19-152463-9 (ISBN)

123,89 €inkl. 7% MwSt.

Systemvoraussetzungen

für PDF mit Adobe-DRM

E-Book Einzellizenz

Als Download verfügbar

Beschreibung

Weitere Details

Weitere Ausgaben

Inhalt

Intro
Contents
Preface
Acknowledgements
1 Surface bundles
1.1 Surfaces and mapping class groups
1.2 Geometric structures on manifolds
1.3 Automorphisms of tori
1.4 PSL(2,Z) and Euclidean structures on tori
1.5 Geometric structures on mapping tori
1.6 Hyperbolic geometry
1.7 Geodesic laminations
1.8 Train tracks
1.9 Singular foliations
1.10 Quadratic holomorphic differentials
1.11 Pseudo-Anosov automorphisms of surfaces
1.12 Geometric structures on general mapping tori
1.13 Peano curves
1.14 Laminations and pinching
2 The topology of S[sup(1)]
2.1 Laminations of S[sup(1)]
2.2 Monotone maps
2.3 Pullback of monotone maps
2.4 Pushforward of laminations
2.5 Left invariant orders
2.6 Circular orders
2.7 Homological characterization of circular groups
2.8 Bounded cohomology and Milnor-Wood
2.9 Commutators and uniformly perfect groups
2.10 Rotation number and Ghys' theorem
2.11 Homological characterization of laminations
2.12 Laminar groups
2.13 Groups with simple dynamics
2.14 Convergence groups
2.15 Examples
2.16 Analytic quality of groups acting on I and S[sup(1)]
3 Minimal surfaces
3.1 Connections, curvature
3.2 Mean curvature
3.3 Minimal surfaces in R[sup(3)]
3.4 The second fundamental form
3.5 Minimal surfaces and harmonic maps
3.6 Stable and least area surfaces
3.7 Existence theorems
3.8 Compactness theorems
3.9 Monotonicity and barrier surfaces
4 Taut foliations
4.1 Definition of foliations
4.2 Foliated bundles and holonomy
4.3 Basic constructions and examples
4.4 Volume-preserving flows and dead-ends
4.5 Calibrations
4.6 Novikov's theorem
4.7 Palmeira's theorem
4.8 Branching and distortion
4.9 Anosov flows
4.10 Foliations of circle bundles
4.11 Small Seifert fibered spaces
5 Finite depth foliations
5.1 Addition of surfaces
5.2 The Thurston norm on homology
5.3 Geometric inequalities and fibered faces
5.4 Sutured manifolds
5.5 Decomposing sutured manifolds
5.6 Constructing foliations from sutured hierarchies
5.7 Corollaries of Gabai's existence theorem
5.8 Disk decomposition and fibered links
6 Essential laminations
6.1 Abstract laminations
6.2 Essential laminations
6.3 Branched surfaces
6.4 Sink disks and Li's theorem
6.5 Dynamic branched surfaces
6.6 Pseudo-Anosov flows
6.7 Push-pull
6.8 Product-covered flows
6.9 Genuine laminations
6.10 Small volume examples
7 Universal circles
7.1 Candel's theorem
7.2 Circle bundle at infinity
7.3 Separation constants
7.4 Markers
7.5 Leaf pocket theorem
7.6 Universal circles
7.7 Leftmost sections
7.8 Turning corners, and special sections
7.9 Circular orders
7.10 Examples
7.11 Special sections and cores
8 Constructing transverse laminations
8.1 Minimal quotients
8.2 Laminations of S[sup(1)sub(univ)]
8.3 Branched surfaces and branched laminations
8.4 Straightening interstitial annuli
8.5 Genuine laminations and Anosov flows
9 Slitherings and other foliations
9.1 Slitherings
9.2 Eigenlaminations
9.3 Uniform and nonuniform foliations
9.4 The product structure on E[sub(8)]
9.5 Moduli of quadrilaterals
9.6 Constructing laminations
9.7 Foliations with one-sided branching
9.8 Long markers
9.9 Complementary polygons
9.10 Pseudo-Anosov flows
10 Peano curves
10.1 The Hilbert space H[sup(1/2)]
10.2 Universal Teichmüller space
10.3 Spaces of maps
10.4 Constructions and Examples
10.5 Moore's theorem
10.6 Quasigeodesic flows
10.7 Endpoint maps and equivalence relations
10.8 Construction of laminations
10.9 Quasigeodesic pseudo-Anosov flows
10.10 Pseudo-Anosov flows without perfect fits
10.11 Further directions
References
Index
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
Y
Z

Systemvoraussetzungen

Als PDF speichern Als Link merken