Results 11 to 20 of about 34,821 (85)
, 2014 This paper defines a theory of cobordism for virtual knots and studies this theory for standard and rotational virtual knots and links. Non-trivial examples of virtual slice knots are given. Determinations of the four-ball genus of positive virtual knots
Kauffman, Louis H.
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, 2012 Classical knots in $\mathbb{R}^3$ can be represented by diagrams in the plane. These diagrams are formed by curves with a finite number of transverse crossings, where each crossing is decorated to indicate which strand of the knot passes over at that ...
Henrich, Allison +5 more
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Knot Probabilities in Random Diagrams
, 2015 We consider a natural model of random knotting- choose a knot diagram at random from the finite set of diagrams with n crossings. We tabulate diagrams with 10 and fewer crossings and classify the diagrams by knot type, allowing us to compute exact ...
Cantarella, Jason +2 more
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Bridge numbers for virtual and welded knots
, 2014 Using Gauss diagrams, one can define the virtual bridge number ${\rm vb}(K)$ and the welded bridge number ${\rm wb}(K),$ invariants of virtual and welded knots with ${\rm wb}(K) \leq {\rm vb}(K).$ If $K$ is a classical knot, Chernov and Manturov showed ...
Boden, Hans U., Gaudreau, Anne Isabel
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Augmentations and Rulings of Legendrian Knots [PDF]
, 2005 A connection between holomorphic and generating family invariants of Legendrian knots is established; namely, that the existence of a ruling (or decomposition) of a Legendrian knot is equivalent to the existence of an augmentation of its contact homology.
Sabloff, Joshua M.
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Topological Analysis and Recovery of Entanglements in Polymer Melts. [PDF]
Macromolecules, 2023 Ubertini MA, Rosa A.
europepmc +1 more source
Knot Factories with Helical Geometry Enhance Knotting and Induce Handedness to Knots. [PDF]
Polymers (Basel), 2022 Rusková R, Račko D.
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The strength of surgical knots involves a critical interplay between friction and elastoplasticity. [PDF]
Sci Adv, 2023 Johanns P +5 more
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The protein folding rate and the geometry and topology of the native state. [PDF]
Sci Rep, 2022 Wang J, Panagiotou E.
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The SKMT Algorithm: A method for assessing and comparing underlying protein entanglement. [PDF]
PLoS Comput Biol, 2023 Bale A, Rambo R, Prior C.
europepmc +1 more source