Results 1 to 10 of about 28,501 (136)
, 1998 The existence of ring-like and knotted solitons in O(3) non-linear sigma model is analysed. The role of isotopy of knots/links in classifying such solitons is pointed out.
Belavin A. A. +4 more
core +2 more sources
Representations of Composite Braids and Invariants for Mutant Knots and Links in Chern-Simons Field Theories [PDF]
, 1994 We show that any of the new knot invariants obtained from Chern-Simons theory based on an arbitrary non-abelian gauge group do not distinguish isotopically inequivalent mutant knots and links.
Govindarajan, T. R. +2 more
core +2 more sources
Reconfigurable knots and links in chiral nematic colloids
, 2011 Tying knots and linking microscopic loops of polymers, macromolecules, or defect lines in complex materials is a challenging task for material scientists.
Muševič, Igor +4 more
core +1 more source
, 2013 We construct a new family of null solutions to Maxwell's equations in free space whose field lines encode all torus knots and links. The evolution of these null fields, analogous to a compressible flow along the Poynting vector that is both geodesic and ...
Bialynicki-Birula, Iwo +3 more
core +1 more source
Contact homology and one parameter families of Legendrian knots
, 2005 We consider S^1-families of Legendrian knots in the standard contact R^3. We define the monodromy of such a loop, which is an automorphism of the Chekanov-Eliashberg contact homology of the starting (and ending) point.
Arnol’d +17 more
core +2 more sources
, 2005 In the present paper, we describe new approaches for constructing virtual knot invariants. The main background of this paper comes from formulating and bringing together the ideas of biquandle (Kauffman and Radford) the virtual quandle (Manturov), the ...
Kauffman, Louis +1 more
core +3 more sources
Stick index of knots and links in the cubic lattice
, 2012 The cubic lattice stick index of a knot type is the least number of sticks necessary to construct the knot type in the 3-dimensional cubic lattice. We present the cubic lattice stick index of various knots and links, including all (p,p+1)-torus knots ...
COLIN ADAMS +8 more
core +1 more source
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
core +1 more source
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
core +1 more source
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
core +1 more source