By Louis H Kauffman

This priceless e-book is an advent to knot and hyperlink invariants as generalized amplitudes for a quasi-physical approach. The calls for of knot concept, coupled with a quantum-statistical framework, create a context that certainly and powerfully contains a unprecedented variety of interrelated issues in topology and mathematical physics. the writer takes a essentially combinatorial stance towards knot thought and its kin with those matters. This stance has the good thing about delivering direct entry to the algebra and to the combinatorial topology, in addition to actual principles.

The e-book is split into elements: half I is a scientific path on knots and physics ranging from the floor up, and half II is a suite of lectures on quite a few themes relating to half I. half II comprises themes resembling frictional houses of knots, kin with combinatorics, and knots in dynamical structures.

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

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