Logo

An Introduction to High Dimensional Knots

Small book cover: An Introduction to High Dimensional Knots

An Introduction to High Dimensional Knots
by

Publisher: arXiv
Number of pages: 92

Description:
This is an introductory article on high dimensional knots for the beginners. Is there a nontrivial high dimensional knot? We first answer this question. After that, we explain local moves on high dimensional knots and the projections of high dimensional knots.

Home page url

Download or read it online for free here:
Download link
(420KB, PDF)

Similar books

Book cover: The Geometry and Topology of Braid GroupsThe Geometry and Topology of Braid Groups
by - 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.
(5930 views)
Book cover: High-dimensional Knot TheoryHigh-dimensional Knot Theory
by - Springer
This book is an introduction to high-dimensional knot theory. It uses surgery theory to provide a systematic exposition, and it serves as an introduction to algebraic surgery theory, using high-dimensional knots as the geometric motivation.
(14147 views)
Book cover: Diffeomorphisms of Elliptic 3-ManifoldsDiffeomorphisms of Elliptic 3-Manifolds
by - arXiv
The elliptic 3-manifolds are the closed 3-manifolds that admit a Riemannian metric of constant positive curvature. For any elliptic 3-manifold M, the inclusion from the isometry group of M to the diffeomorphism group of M is a homotopy equivalence.
(9947 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.
(11061 views)