Quantum groups and knot invariants
WebJan 18, 2010 · > A Quantum Groups Primer > Knot invariants; A Quantum Groups Primer. Buy print or eBook [Opens in a new window] Book contents. Frontmatter. Contents. … WebAuthor: Murray Gerstenhaber Publisher: American Mathematical Soc. ISBN: 0821851411 Category : Mathematics Languages : en Pages : 377 Download Book. Book Description Quantum groups are not groups at all, but special kinds of Hopf algebras of which the most important are closely related to Lie groups and play a central role in the statistical and …
Quantum groups and knot invariants
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WebQuantum invariants based on ideal triangulations We explain a new construction of quantum invariants of knots and closed framed 3-manifolds based on ideal triangulations. The invariant is de ned for any nite dimensional Hopf algebra such as small quantum groups. The construction is simple and easy to be WebIntroduction to quantum invariants of knots Roland van der Veen Abstract By introducing a generalized notion of tangles we show how the alge-bra behind quantum knot invariants …
Web8.1 Action of the Coxeter braid group on the quantum group . . . . . . .11 ... In fact, the package does much more than just compute quantum knot invariants. Subject to quite … WebThis is a universal quantum invariant and a universal Vassiliev invariant, and brings together these two seemingly different families of knot invariants. The book provides a detailed …
Webfor over a century. Knot theory has found application in statistical mechanics [1], symbolic logic and set theory [2], quantum eld theory [3], quantum computing [4], etc. This thesis … WebJun 1, 1993 · Buy Quantum Groups, Integrable Statistical Models And Knot Theory - The Fifth Nankai Workshop by Mo-lin Ge, H J De Vega from Foyles today! Click and Collect from your local Foyles.
WebHere is the link to lecture notes by P. Safronov on quantum groups. Here is my old paper on solutions to the Yang-Baxter equation and invariants of knots where it is shown that …
Webtations of quantum groups are used to define polynomial knot invariants. We show that the categorifications of tensor products are related by functors categorifying these maps, … santa fe county probate courtWebThis gives a vast class of knot invariants and 3-manifold invariants as well as a class of linear representations of the mapping class groups of surfaces. In Part II the technique of 6j-symbols is used to define state sum invariants of 3-manifolds. Their relation to the TQFTs constructed in Part I is established via the theory of shadows. santa fe county residential building codeWebQuantum topology is an area of low dimensional topology that studies topological objects, such as knots and 3-manifolds, with tools from mathematical physics. The computational complexity of topological invariants coming from quantum topology has proved extremely rich and deep. One very noticeable result is that approximating additively the ... santa fe county sustainabilityWebMar 24, 2024 · Quantum groups are useful for making knot/link invariants: for example, U q ( s l 2) you get the Jones polynomial. This boils down to the fact that C = rep U q ( s l 2) is a … short poems about grandmothersWebThis is a course in knot theory, including virtual knot theory, knotoids, knotted surfaces in four-space and higher dimensional knots. We will study basic knot invariants such as the fundamental group and quandle, the Jones polynomial, quantum invariants and Vassiliev invariants and Khovanov homology. santa fe county treasurer\u0027s officeWebQUANTUM GROUPS AND KNOT INVARIANTS. Definition 1.1. Informally, a knot is obtained by gluing together the endpoints of a shoelace in R3, considered up to isotopy (but … santa fe county probate court recordsWebSep 1, 2024 · Expansions of quantum group invariants. In my research, we developed a method to distinguish knots. A knot is a mathematical depiction of the everyday knot that … short poems about friendship for kids