Results 11 to 20 of about 28,588 (91)
Quantum Racah matrices up to level 3 and multicolored link invariants
, 2018 This paper is a next step in the project of systematic description of colored knot and link invariants started in previous papers. In this paper, we managed to explicitly find the inclusive Racah matrices, i.e.
Bai, C. +6 more
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Topological and physical knot theory are distinct
, 2012 Physical knots and links are one-dimensional submanifolds of R^3 with fixed length and thickness. We show that isotopy classes in this category can differ from those of classical knot and link theory.
Alexander Coward +5 more
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Composite Representation Invariants and Unoriented Topological String Amplitudes
, 2010 Sinha and Vafa \cite {sinha} had conjectured that the $SO$ Chern-Simons gauge theory on $S^3$ must be dual to the closed $A$-model topological string on the orientifold of a resolved conifold.
Borhade, Pravina +2 more
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All the shapes of spaces: a census of small 3-manifolds [PDF]
, 2013 In this work we present a complete (no misses, no duplicates) census for closed, connected, orientable and prime 3-manifolds induced by plane graphs with a bipartition of its edge set (blinks) up to $k=9$ edges.
Lins, Lauro D., Lins, Sóstenes L.
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Refined Chern-Simons theory and Hilbert schemes of points on the plane
, 2013 Aganagic and Shakirov propose a refinement of the SU(N) Chern-Simons theory for links in three manifolds with S^1-symmetry, such as torus knots in S^3, based on deformation of the S and T matrices, originally found by Kirillov and Cherednik.
Nakajima, Hiraku
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Quasi-Quantum Groups, Knots, Three-Manifolds, and Topological Field Theory
, 1992 We show how to construct, starting from a quasi-Hopf algebra, or quasi-quantum group, invariants of knots and links. In some cases, these invariants give rise to invariants of the three-manifolds obtained by surgery along these links.
A. Alekseev +37 more
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Topological carbon allotropes: paradigm shift for materials innovation
, 2019 Topology is a central concept of mathematics, which allows us to distinguish two isolated rings with linked ones. In material science, researchers discovered topologically different carbon allotropes in a form of a cage, a tube, and a sheet, which have ...
Saito, Shinichi, Tomita, Isao
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Decay of helical and non-helical magnetic knots
, 2011 We present calculations of the relaxation of magnetic field structures that have the shape of particular knots and links. A set of helical magnetic flux configurations is considered, which we call $n$-foil knots of which the trefoil knot is the most ...
Axel Brandenburg +2 more
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Characterization of Knots and Links Arising From Site-specific Recombination on Twist Knots
, 2011 We develop a model characterizing all possible knots and links arising from recombination starting with a twist knot substrate, extending previous work of Buck and Flapan. We show that all knot or link products fall into three well-understood families of
Buck D +16 more
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Determinations of rational Dedekind-zeta invariants of hyperbolic manifolds and Feynman knots and links [PDF]
, 1998 We identify 998 closed hyperbolic 3-manifolds whose volumes are rationally related to Dedekind zeta values, with coprime integers $a$ and $b$ giving $a/b vol(M)=(-D)^{3/2}/(2\pi)^{2n-4} (\zeta_K(2))/(2\zeta(2))$ for a manifold M whose invariant trace ...
Borwein, J. M., Broadhurst, D. J.
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