**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

**Lectures on Polyhedral Topology**

by

**John R. Stallings**-

**Tata Institute of Fundamental Research**

These notes contain: The elementary theory of finite polyhedra in real vector spaces; A theory of 'general position' (approximation of maps), based on 'non-degeneracy'. A theory of 'regular neighbourhoods' in arbitrary polyhedra; etc.

(

**7928**views)

**Unsolved Problems in Virtual Knot Theory and Combinatorial Knot Theory**

by

**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.

(

**5543**views)

**An Introduction to Algebraic Surgery**

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.

(

**9651**views)

**The Geometry and Topology of Braid Groups**

by

**Jenny Wilson**-

**University of Michigan**

Contents: Five definitions of the braid group; The topology of Fn(C); The integral cohomology of the pure braid group; Generalizations of PBn and their cohomology; Transfer and twisted coefficients; Stability in the cohomology of braid groups; etc.

(

**3471**views)