{"product_id":"9789814460309","title":"Knots and Physics","description":"\u003cp\u003eThis 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.\u003c\/p\u003e\u003cp\u003eThe 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.\u003c\/p\u003e\u003cp\u003eIn this new edition, an article on Virtual Knot Theory and Khovanov Homology has beed added.\u003c\/p\u003e\u003cb\u003eContents:\u003c\/b\u003e\u003cul\u003e\n\u003cli\u003ePhysical Knots\u003c\/li\u003e\n\u003cli\u003eStates and the Bracket Polynomial\u003c\/li\u003e\n\u003cli\u003eThe Jones Polynomial and Its Generalizations\u003c\/li\u003e\n\u003cli\u003eBraids and the Jones Polynomial\u003c\/li\u003e\n\u003cli\u003eFormal Feynman Diagrams, Bracket as a Vacuum-Vacuum Expectation and the Quantum Group \u003ci\u003eSL\u003c\/i\u003e(2)\u003ci\u003e\u003csub\u003eq\u003c\/sub\u003e\u003c\/i\u003e\n\u003c\/li\u003e\n\u003cli\u003eYang–Baxter Models for Specializations of the Homfly Polynomial\u003c\/li\u003e\n\u003cli\u003eKnot-Crystals — Classical Knot Theory in a Modern Guise\u003c\/li\u003e\n\u003cli\u003eThe Kauffman Polynomial\u003c\/li\u003e\n\u003cli\u003eThree Manifold Invariants from the Jones Polynomial\u003c\/li\u003e\n\u003cli\u003eIntegral Heuristics and Witten's Invariants\u003c\/li\u003e\n\u003cli\u003eThe Chromatic Polynomial\u003c\/li\u003e\n\u003cli\u003eThe Potts Model and the Dichromatic Polynomial\u003c\/li\u003e\n\u003cli\u003eThe Penrose Theory of Spin Networks\u003c\/li\u003e\n\u003cli\u003eKnots and Strings — Knotted Strings\u003c\/li\u003e\n\u003cli\u003eDNA and Quantum Field Theory\u003c\/li\u003e\n\u003cli\u003eKnots in Dynamical Systems — The Lorenz Attractor\u003c\/li\u003e\n\u003cli\u003eand selected papers\u003c\/li\u003e\n\u003c\/ul\u003e\u003cbr\u003e\u003cb\u003eReadership:\u003c\/b\u003e Physicists and mathematicians.\u003cbr\u003e","brand":"World Scientific Publishing Company, Incorporated","offers":[{"title":"Default Title","offer_id":47185289117936,"sku":"9789814460309","price":74.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9789814460309_p0.jpg?v=1763690994","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9789814460309","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}