Logo

Diffeomorphisms of Elliptic 3-Manifolds

Small book cover: Diffeomorphisms of Elliptic 3-Manifolds

Diffeomorphisms of Elliptic 3-Manifolds
by

Publisher: arXiv
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.

Home page url

Download or read it online for free here:
Download link
(1.6MB, PDF)

Similar books

Book cover: Algebraic and Geometric SurgeryAlgebraic and Geometric Surgery
by - Oxford University Press
Surgery theory is the standard method for the classification of high-dimensional manifolds, where high means 5 or more. This book aims to be an entry point to surgery theory for a reader who already has some background in topology.
(12643 views)
Book cover: Lower K- and L-theoryLower K- and L-theory
by - 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.
(11909 views)
Book cover: Ends of ComplexesEnds of Complexes
by - Cambridge University Press
The book gathers together the main strands of the theory of ends of manifolds from the last thirty years and presents a unified and coherent treatment of them. It also contains authoritative expositions of mapping tori and telescopes.
(11504 views)
Book cover: Unsolved Problems in Virtual Knot Theory and Combinatorial Knot TheoryUnsolved Problems in Virtual Knot Theory and Combinatorial Knot Theory
by - 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.
(8280 views)