Quantum invariants of knots and 3-manifolds
WebWe show that the renormalized quantum invariants of links and graphs in the 3-sphere, derived from tensor categories in [6], lead to modified -symbols and to new state sum -manifold invariants. We give examples of cate… http://link.library.missouri.edu/portal/Quantum-invariants-of-knots-and-3-manifolds-V.G./f_XzRIAS-w8/
Quantum invariants of knots and 3-manifolds
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WebThis book provides an extensive and self-contained presentation of quantum and related invariants of knots and 3-manifolds. Polynomial invariants of knots, such as the Jones … 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 …
WebThis backdrop motivates the subject of this book, which reveals Knot Theory as a highly intuitive formalism that is intimately connected to Quantum Field Theory and serves as a basis to String Theory.This book presents a didactic approach to knots, braids, links, and polynomial invariants which are powerful and developing techniques that rise up to the … Web1.1. Introduction. Quantum invariants are important numerical invariants of knots and 3-manifolds and are originally de ned in [20] using tools of quantum eld theory. Witten conjectured the existence of topological invariants of 3-manifolds generalizing the Jones polynomial to links in arbitrary closed oriented 3-manifolds.
WebQuantum Invariants of Knots and 3-manifolds. The series is devoted to the publication of ... 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 ...
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.
WebThis 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 … galen rowell a retrospectiveWebKnots and polynomial invariants braids and representations of the braid groups operator invariants of tangles via sliced diagrams Ribbon Hopf algebras and invariants of links … black boots for toddler boyWebJun 10, 2000 · We use categories of representations of finite dimensional quantum groupoids (weak Hopf algebras) to construct ribbon and modular categories that give rise … black boots for winterWebMar 23, 2024 · In the prequel of this paper, Kauffman and Ogasa introduced new topological quantum invariants of compact oriented 3-manifolds with boundary where the boundary … black boots for women combatWebThe item Quantum invariants of knots and 3-manifolds, V.G. Turaev represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in … black boots for women at paylessWebTheoretical 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 ... galen rowell 35mmWebPart I presents a construction of 3-dimensional TQFT's and 2-dimensional modular functors from so-called modular categories. This gives new knot and 3-manifold invariants as well as linear representations of the mapping class groups of surfaces. In Part II the machinery of 6j-symbols is used to define state sum invariants of 3-manifolds. black boots for women ankle booties