By Louis H Kauffman
This important booklet is an creation 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 obviously and powerfully contains a rare diversity of interrelated subject matters in topology and mathematical physics. the writer takes a essentially combinatorial stance towards knot idea and its family members with those matters. This stance has the benefit of offering 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 suite of lectures on quite a few subject matters regarding half I. half II contains issues comparable to frictional homes of knots, kinfolk with combinatorics, and knots in dynamical structures.
during this new version, a piece of writing on digital Knot concept and Khovanov Homology has beed added.
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