By Louis H Kauffman

This valuable ebook is an creation to knot and hyperlink invariants as generalized amplitudes for a quasi-physical strategy. The calls for of knot conception, coupled with a quantum-statistical framework, create a context that evidently and powerfully comprises a rare variety of interrelated subject matters in topology and mathematical physics. the writer takes a basically combinatorial stance towards knot idea and its family with those matters. This stance has the good thing about offering direct entry to the algebra and to the combinatorial topology, in addition to actual ideas.

The e-book is split into components: half I is a scientific direction on knots and physics ranging from the floor up, and half II is a collection of lectures on numerous subject matters relating to half I. half II contains issues equivalent to frictional houses of knots, relatives with combinatorics, and knots in dynamical systems.

In this new version, an editorial on digital Knot concept and Khovanov Homology has beed added.

**Contents:**

- Physical Knots
- States and the Bracket Polynomial
- The Jones Polynomial and Its Generalizations
- Braids and the Jones Polynomial
- Formal Feynman Diagrams, Bracket as a Vacuum-Vacuum Expectation and the Quantum workforce
*SL*(2)_{q} - Yang–Baxter types for Specializations of the Homfly Polynomial
- Knot-Crystals — Classical Knot idea in a latest Guise
- The Kauffman Polynomial
- Three Manifold Invariants from the Jones Polynomial
- Integral Heuristics and Witten's Invariants
- The Chromatic Polynomial
- The Potts version and the Dichromatic Polynomial
- The Penrose concept of Spin Networks
- Knots and Strings — Knotted Strings
- DNA and Quantum box Theory
- Knots in Dynamical platforms — The Lorenz Attractor
- and chosen papers

**Readership:** Physicists and mathematicians.