By Louis H Kauffman
This valuable e-book is an creation to knot and hyperlink invariants as generalized amplitudes for a quasi-physical procedure. The calls for of knot thought, coupled with a quantum-statistical framework, create a context that clearly and powerfully comprises a rare variety of interrelated themes in topology and mathematical physics. the writer takes a basically combinatorial stance towards knot conception and its kin with those topics. This stance has the benefit of supplying direct entry to the algebra and to the combinatorial topology, in addition to actual principles.
The publication 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 relating to half I. half II comprises issues akin to frictional homes 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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