Foliations and the Geometry of 3-Manifolds by Danny Calegari
Foliations and the Geometry of 3-Manifolds - Table of Contents
- 1. Surface Bundles
- 2. The Topology of S¹
- 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
What You Will Learn in Foliations and the Geometry of 3-Manifolds
Foliations and the Geometry of 3-Manifolds by Danny Calegari is an authoritative, advanced monograph designed for research mathematicians, graduate students, and topologists working in geometric topology. Serving as an essential open study guide, this volume provides a rigorous mathematical framework for 3-manifold topology and geometric foliation problem solving practice.
The textbook systematically covers taut foliations, Reeb components, essential laminations, the Thurston norm, pseudo-Anosov flows, transverse surfaces, universal circles, and hyperbolic structures on three-dimensional manifolds. By connecting qualitative topological properties with differential geometry and group actions, Calegari enables readers to execute complex topological classification proofs and leaf space geometric constructions with precision.
Treasured globally by low-dimensional topologists and geometric group theorists for its visual depth and cutting-edge insights, this modern text serves as an outstanding self-study guide. Calegari’s elegant exposition equips learners with vital topological tools required for mastering modern 3-manifold geometric and topological principles.
Book Details & Specifications
Title:
Foliations and the Geometry of 3-Manifolds by Danny Calegari
Publisher:
Clarendon Press
Year:
2007
Pages:
371
Type:
PDF
Language:
English
ISBN-10 #:
B001CXO104
ISBN-13 #:
978-0191524639
License:
External Educational Resource
Amazon:
Amazon
About the Author: Danny Calegari
The author Danny Calegari
is a Professor of Mathematics at the University of Chicago, widely celebrated for his groundbreaking contributions to geometry, topology, low-dimensional manifolds, and dynamical systems.
His advanced research monographs stand as authoritative foliations, 3-manifold geometry, and low-dimensional topology study guides.
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