2024 Quantum groups and knot invariants

Quantum groups and knot invariants

Author: zmce

August undefined, 2024

Web1990-2000: Ad-hoc constructions of non-semisimple quantum invariants of knots and 3-manifolds: Akutsu{Deguchi{Ohtsuki, Kuperberg, Hennings, Kerler{Lyubashenko, ... 2009-2016: CGPT develop a robust generalization of RT theory which allows for input categories which are not nite, not semisimple, and have simples of vanishing quantum dimension. http://katlas.math.toronto.edu/wiki/QuantumGroups%60

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WebQuantum 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 ... WebR-matrices of the quantum group was solved by Drinfeld and Kohno in ’89. corresponding to . Action by monodromies ... To categorify quantum knot invariants, one would like to … lily flower name in hindi

An Introduction to Quantum and Vassiliev Knot Invariants

WebAlmost since the advent of skein-theoretic invariants of knots and links (the Jones, HOMFLY, and Kauffman polynomials), the important role of categories of tangles in the connection between low-dimensional topology and quantum-group theory has been recognized. The rich categorical structures naturally arising 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. … WebMay 25, 2010 · We construct knot invariants categorifying the quantum knot variants for all representations of quantum groups. We show that these invariants coincide with previous … lily flower life cycle for kids

Knot Invariants And Higher Representation Theory PDF eBook …

QUANTUM GROUPS AND KNOT INVARIANTS - Loyola University …

Webbe a Galois covering space with abelian deck group G. We can then construct modules T(eλ) and T(eτ) attached to the induced covering spaces of λand τ. The deck group acts naturally on eλ and τe, so we obtain modules over the group ring Z[G]. The arguments of Theorem 2.2 can then be applied to the lift of a collapsing map f: λ→ τ, to ... WebSep 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 … lily flower life cycleWebJun 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. hotels near bixby ok

"WebThe research group, bi-localized in the south of Paris and in Sophia Antipolis, specializes in algorithms ... This thesis is about refining and generalizing our understanding of the quantum complexity of topological quantum invariants of knots and 3-manifolds. One line of research will be the classification of the complexity (BQP-membership ... " - Quantum groups and knot invariants

Quantum groups and knot invariants

WebOct 2, 1992 · ON THE INVARIANTS OF TORUS KNOTS DERIVED FROM QUANTUM GROUPS. ... Torus knots and quantum modular forms. Kazuhiro Hikami and Jeremy Lovejoy. ... WebAlexander's theorem states that any knot or link can be put into braid form. Markov's theorem gives necessary and sufficient conditions to conclude that two braids represent the same knot or link. Thus, one can use braid theory to study knot theory and vice versa. In this book, the author generalizes braid theory to dimension four.

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WebAlmost since the advent of skein-theoretic invariants of knots and links (the Jones, HOMFLY, and Kauffman polynomials), the important role of categories of tangles in the … WebTrisection invariants of 4-manifolds from Hopf algebras - Xingshan CUI 崔星山, Purdue (2024-10-25) The Kuperberg invariant is a topological invariant of closed 3-manifolds based on finite-dimensional Hopf algebras. Here we initiate the program of constructing 4-manifold invariants in the spirit of Kuperberg's 3-manifold invariant.

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 … WebThis 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.

WebQUANTUM GROUPS AND KNOT INVARIANTS Christian Kassel, Marc Rosso, Vladimir Tliraev SUB Gottingen 210 245 123b 99 A 21429 UBERREICHT VON DER DEUTSCHEN FORSCHUNGSGEMEINSCHAFT Societe Mathematique de France 1997. CONTENTS INTRODUCTION 1 1. THE YANG-BAXTER EQUATION AND BRAID GROUP … 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 …

WebSep 19, 2024 · Download Citation Odd knot invariants from quantum covering groups We show that the quantum covering group associated to osp(1 2n) has an associated colored …

WebTheoretical physicist developing mathematical tools in quantum field theory and string theory to solve fundamental questions in physics. Learn more about Hirosi Ooguri's work experience ... hotels near black bear casino mnWebRepresentation Theory and Knot Invariants. Summer semester 2024 Exams: As announced, there will be oral exams. ... This includes topics such as braid groups, quantum groups … lily flowers and dogsWeb[10] M. Grana,~ Quandle knot invariants are quantum knot invariants, J. Kont Theory Rami cations. 11 (2002) 673{681. [11] M. Iwakiri, Calculation of dihedral quandle cocycle invariants of twist span 2-bridge knots, J. Kont Theory Rami cations. 14 (2005) 217{229. [12] N. Maruyama, The CWL invariant and surgeries along 2-component links lily flower pixel artWebDownload or read book Knot Invariants and Higher Representation Theory written by Benjamin Thomas Webster and published by . This book was released on 2024 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author constructs knot invariants categorifying the quantum knot variants for all representations of … hotels near bjxWebQUAntum groups, Categorification, Knot invariants, and Soergel bimodules II August 8-12, 2024 University of Oregon Speakers : Registration : Schedule : Abstracts : Local … hotels near bjcc in birmingham alabamaWebDownload or read book Knot Invariants and Higher Representation Theory written by Benjamin Thomas Webster and published by . This book was released on 2024 with total … lily flower line artWebtations 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, … hotels near blackberry farm aurora il