Results 1 to 10 of about 28,570 (73)

Spaces of knots in the solid torus, knots in the thickened torus, and links in the 3-sphere [PDF]

open access: yesGeometriae Dedicata, 2020
We recursively determine the homotopy type of the space of any irreducible framed link in the 3-sphere, modulo rotations. This leads us to the homotopy type of the space of any knot in the solid torus, thus answering a question posed by Arnold.
A. Havens, R. Koytcheff
semanticscholar   +1 more source

Lift in the 3-sphere of knots and links in lens spaces [PDF]

open access: yes, 2013
An important geometric invariant of links in lens spaces is the lift in the 3-sphere of a link $L$ in $L(p,q)$, that is the counterimage $\widetilde L$ of $L$ under the universal covering of $L(p,q)$.
E. Manfredi
semanticscholar   +1 more source

THE ELEVENTH AND TWELFTH DATA RELEASES OF THE SLOAN DIGITAL SKY SURVEY: FINAL DATA FROM SDSS-III [PDF]

open access: yes, 2015
The third generation of the Sloan Digital Sky Survey (SDSS-III) took data from 2008 to 2014 using the original SDSS wide-field imager, the original and an upgraded multi-object fiber-fed optical spectrograph, a new near-infrared high-resolution ...
S. Alam   +499 more
semanticscholar   +1 more source

Knot Solitons [PDF]

open access: yes, 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

Reconfigurable knots and links in chiral nematic colloids

open access: yes, 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

Tying knots in light fields

open access: yes, 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

Virtual Biquandles [PDF]

open access: yes, 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

Contact homology and one parameter families of Legendrian knots

open access: yes, 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

Representations of Composite Braids and Invariants for Mutant Knots and Links in Chern-Simons Field Theories [PDF]

open access: yes, 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

Stick index of knots and links in the cubic lattice

open access: yes, 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

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