Foliations and the Geometry of 3-manifolds
by Danny Calegari
Publisher: Oxford University Press 2007
ISBN/ASIN: 0198570082
ISBN-13: 9780198570080
Number of pages: 371
Description:
The purpose of this book is to give an exposition of the "pseudo-Anosov" theory of foliations of 3-manifolds. This theory generalizes Thurston's theory of surface automorphisms, and reveals an intimate connection between dynamics, geometry and topology in 3 dimensions.
Download or read it online for free here:
Download link
(3.9MB, PDF)
Similar books
Lower K- and L-theoryby Andrew Ranicki - Cambridge University Press
This is the first treatment of the applications of the lower K- and L-groups to the topology of manifolds such as Euclidean spaces, via Whitehead torsion and the Wall finiteness and surgery obstructions. Only elementary constructions are used.
(11722 views)
Unsolved Problems in Virtual Knot Theory and Combinatorial Knot Theoryby R. Fenn, D.P. Ilyutko, L.H. Kauffman, V.O. Manturov - arXiv
The purpose of this paper is to give an introduction to virtual knot theory and to record a collection of research problems that the authors have found fascinating. The paper introduces the theory and discusses some problems in that context.
(8101 views)
Notes on Basic 3-Manifold Topologyby Allen Hatcher
These pages are really just an early draft of the initial chapters of a real book on 3-manifolds. The text does contain a few things that aren't readily available elsewhere, like the Jaco-Shalen/Johannson torus decomposition theorem.
(12496 views)
Surgery on Compact Manifoldsby C.T.C. Wall, A. A. Ranicki - American Mathematical Society
This book represents an attempt to collect and systematize the methods and main applications of the method of surgery, insofar as compact (but not necessarily connected, simply connected or closed) manifolds are involved.
(11578 views)