Diffeomorphisms of Elliptic 3-Manifolds
by S. Hong, J. Kalliongis, D. McCullough, J. H. Rubinstein
Publisher: arXiv 2011
Number of pages: 185
Description:
The elliptic 3-manifolds are the closed 3-manifolds that admit a Riemannian metric of constant positive curvature, that is, those that have finite fundamental group. The (Generalized) Smale Conjecture asserts that for any elliptic 3-manifold M, the inclusion from the isometry group of M to the diffeomorphism group of M is a homotopy equivalence.
Download or read it online for free here:
Download link
(1.6MB, PDF)
Similar books
![Book cover: Notes on Basic 3-Manifold Topology](images/56.jpg)
by 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.
(10299 views)
![Book cover: An Introduction to Algebraic Surgery](images/4683.jpg)
by Andrew Ranicki - arXiv
Browder-Novikov-Sullivan-Wall surgery theory investigates the homotopy types of manifolds, using a combination of algebra and topology. It is the aim of these notes to provide an introduction to the more algebraic aspects of the theory.
(10949 views)
![Book cover: A Primer on Mapping Class Groups](images/5402.jpg)
by Benson Farb, Dan Margalit - Princeton University Press
Our goal in this book is to explain as many important theorems, examples, and techniques as possible, as quickly and directly as possible, while at the same time giving (nearly) full details and keeping the text (nearly) selfcontained.
(11100 views)
![Book cover: The Hauptvermutung Book: A Collection of Papers on the Topology of Manifolds](images/6976.jpg)
by A.A. Ranicki, et al, - Springer
The Hauptvermutung is the conjecture that any two triangulations of a polyhedron are combinatorially equivalent. This conjecture was formulated at the turn of the century, and until its resolution was a central problem of topology.
(9736 views)