**An Introduction to High Dimensional Knots**

by Eiji Ogasa

**Publisher**: arXiv 2013**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.

Download or read it online for free here:

**Download link**

(420KB, PDF)

## Similar books

**Lectures on the Geometry of Manifolds**

by

**Liviu I. Nicolaescu**-

**World Scientific Publishing Company**

An introduction to the most frequently used techniques in modern global geometry. Suited to the beginning graduate student, the necessary prerequisite is a good knowledge of several variables calculus, linear algebra and point-set topology.

(

**8976**views)

**Geometric Topology: Localization, Periodicity and Galois Symmetry**

by

**Dennis Sullivan**-

**Springer**

In 1970, Sullivan circulated this set of notes introducing localization and completion of topological spaces to homotopy theory, and other important concepts. The notes remain worth reading for the fresh picture they provide for geometric topology.

(

**6169**views)

**Surgery on Compact Manifolds**

by

**C.T.C. Wall, A. A. Ranicki**-

**American Mathematical Society**

This book represents an attempt to collect and systematize the methods and main applications of the method of surgery, insofar as compact (but not necessarily connected, simply connected or closed) manifolds are involved.

(

**6636**views)

**Foliations and the Geometry of 3-manifolds**

by

**Danny Calegari**-

**Oxford University Press**

The book gives an exposition of the 'pseudo-Anosov' theory of foliations of 3-manifolds. This theory generalizes Thurston's theory of surface automorphisms, and reveals an intimate connection between dynamics, geometry and topology in 3 dimensions.

(

**9228**views)