**Knot Diagrammatics**

by Louis H. Kauffman

**Publisher**: arXiv 2004**Number of pages**: 107

**Description**:

This paper is a survey of knot theory and invariants of knots and links from the point of view of categories of diagrams. The topics range from foundations of knot theory to virtual knot theory and topological quantum field theory.

Download or read it online for free here:

**Download link**

(650KB, PDF)

## Similar books

**Algebraic and Geometric Topology**

by

**Andrew Ranicki, Norman Levitt, Frank Quinn**-

**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.

(

**10208**views)

**A Geometric Approach to Differential Forms**

by

**David Bachman**-

**arXiv**

This is a textbook on differential forms. The primary target audience is sophomore level undergraduates enrolled in a course in vector calculus. Later chapters will be of interest to advanced undergraduate and beginning graduate students.

(

**8527**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.

(

**4967**views)

**Algebraic L-theory and Topological Manifolds**

by

**A. A. Ranicki**-

**Cambridge University Press**

Assuming no previous acquaintance with surgery theory and justifying all the algebraic concepts used by their relevance to topology, Dr Ranicki explains the applications of quadratic forms to the classification of topological manifolds.

(

**4432**views)