By Louis H Kauffman

This important ebook is an advent to knot and hyperlink invariants as generalized amplitudes for a quasi-physical method. The calls for of knot concept, coupled with a quantum-statistical framework, create a context that certainly and powerfully comprises a unprecedented diversity of interrelated issues in topology and mathematical physics. the writer takes a essentially combinatorial stance towards knot idea and its kinfolk with those matters. This stance has the benefit of delivering direct entry to the algebra and to the combinatorial topology, in addition to actual principles.

The ebook is split into elements: half I is a scientific direction on knots and physics ranging from the floor up, and half II is a collection of lectures on a variety of themes with regards to half I. half II comprises themes corresponding to frictional houses of knots, kinfolk with combinatorics, and knots in dynamical structures.

during this new version, a piece of writing on digital Knot conception and Khovanov Homology has beed added.

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