## Knots and PhysicsThis invaluable book is an introduction to knot and link invariants as generalized amplitudes for a quasi-physical process. The demands of knot theory, coupled with a quantum-statistical framework, create a context that naturally and powerfully includes an extraordinary range of interrelated topics in topology and mathematical physics. The author takes a primarily combinatorial stance toward knot theory and its relations with these subjects. This stance has the advantage of providing direct access to the algebra and to the combinatorial topology, as well as physical ideas. The book is divided into two parts: Part I is a systematic course on knots and physics starting from the ground up, and Part II is a set of lectures on various topics related to Part I. Part II includes topics such as frictional properties of knots, relations with combinatorics, and knots in dynamical systems. In this new edition, articles on other topics, including Khovanov Homology, have been included. |

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Quite good apart from the bits about Mark Hennings, an absolute batty bandit

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I am a sailor. It is not safe to use these knots.

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abstract tensor ambient isotopy arrow polynomial bracket polynomial braid group calculation colors combinatorial completes the proof complex components compute conﬁgurations construction corresponding curve deﬁned deﬁnition denotes the number diagrammatic dimensional edge element embedding equivalent evaluation example ﬁeld theory ﬁgure ﬁnd ﬁnite ﬁrst ﬂat formalism formula functional integral given graphical Hence Hopf algebra identity index set indices inﬁnite inﬁnitesimal isotopy invariant Jones polynomial Khovanov homology knot or link knot theory knots and links labelled Lie algebra link diagram link invariants Math matrix nodes nontrivial Note obtained Phys planar graph plane Preprint quantum groups quaternions reﬂections regular isotopy regular isotopy invariant Reidemeister moves relation representation rotation satisﬁes shown speciﬁc spin networks strands structure summation tangle Temperley-Lieb algebra Theorem topological trefoil twist unknot unoriented Vassiliev invariants vector vertex weights vertices virtual knot theory virtual knots Wilson loop Yang-Baxter Equation zero