**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

**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.

(

**6182**views)

**Math That Makes You Go Wow**

by

**M. Boittin, E. Callahan, D. Goldberg, J. Remes**-

**Ohio State University**

This is an innovative project by a group of Yale undergraduates: A Multi-Disciplinary Exploration of Non-Orientable Surfaces. The course is designed to be included as a short segment in a late middle school or early high school math course.

(

**10231**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.

(

**7878**views)

**Combinatorial Knot Theory**

by

**Louis H. Kauffman**-

**University of Illinois at Chicago**

This book is an introduction to knot theory and to Witten's approach to knot theory via his functional integral. Contents: Topics in combinatorial knot theory; State Models and State Summations; Vassiliev Invariants and Witten's Functional Integral.

(

**5451**views)