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: Knot Invariants and Higher Representation TheoryKnot Invariants and Higher Representation Theory
by - arXiv
We construct knot invariants categorifying the quantum knot variants for all representations of quantum groups. We show that these invariants coincide with previous invariants defined by Khovanov for sl_2 and sl_3 and by Mazorchuk-Stroppel...
(8741 views)
Book cover: The Hauptvermutung Book: A Collection of Papers on the Topology of ManifoldsThe Hauptvermutung Book: A Collection of Papers on the Topology of Manifolds
by - 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.
(11282 views)
Book cover: Algebraic and Geometric TopologyAlgebraic and Geometric Topology
by - Springer
The book present original research on a wide range of topics in modern topology: the algebraic K-theory of spaces, the algebraic obstructions to surgery and finiteness, geometric and chain complexes, characteristic classes, and transformation groups.
(18374 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.
(8034 views)