Results 1 to 10 of about 45 (45)
Primary decomposition in the smooth concordance group of topologically slice knots
Forum of Mathematics, Sigma, 2021 We address primary decomposition conjectures for knot concordance groups, which predict direct sum decompositions into primary parts. We show that the smooth concordance group of topologically slice knots has a large subgroup for which the conjectures ...
Jae Choon Cha
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Veterinary Dermatology, Volume 31, Issue 6, Page 471-e126, December 2020., 2020 Background – Equine sarcoids are the most prevalent skin neoplasm in horses worldwide. Although several treatments are available, none are consistently effective and recurrence is common. Objectives – To evaluate the efficacy and safety of topical imiquimod 5% cream and Sanguinaria canadensis + zinc chloride for treatment of equine sarcoids and ...
Carina M. Pettersson +3 more
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A simple algorithm to compute link polynomials defined by using skein relations
Computational and Mathematical Biophysics, 2020 We give a simple and practical algorithm to compute the link polynomials, which are defined according to the skein relations. Our method is based on a new total order on the set of all braid representatives.
Zhao Xuezhi
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On the torsional energy of torus knots under infinitesimal bending
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 The article deals with the infinitesimal bending theory application to the knots theory. The impact of infinitesimal bending on the torsional energy at torus knots is considered, and the results show that it is not stationary under infinitesimal bending.
Maksimović Miroslav D. +4 more
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Engel groups and universal surgery models
Journal of Topology, Volume 13, Issue 3, Page 1302-1316, September 2020., 2020 Abstract We introduce a collection of 12‐π1‐null four‐dimensional surgery problems. This is an intermediate notion between the classically studied universal surgery models and the π1‐null kernels which are known to admit a solution in the topological category.
Michael Freedman, Vyacheslav Krushkal
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Untwisting 3‐strand torus knots
Bulletin of the London Mathematical Society, Volume 52, Issue 3, Page 429-436, June 2020., 2020 Abstract We prove that the signature bound for the topological 4‐genus of 3‐strand torus knots is sharp, using McCoy's twisting method. We also show that the bound is off by at most 1 for 4‐strand and 6‐strand torus knots, and improve the upper bound on the asymptotic ratio between the topological 4‐genus and the Seifert genus of torus knots from 2/3 ...
S. Baader, I. Banfield, L. Lewark
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A study about the Tutte polynomials of benzenoid chains
Topological Algebra and its Applications, 2017 The Tutte polynomials for signed graphs were introduced by Kauffman. In 2012, Fath-Tabar, Gholam-Rezaeı and Ashrafı presented a formula for computing Tutte polynomial of a benzenoid chain. From this point on, we have also calculated the Tutte polynomials
Sahin Abdulgani
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Properties of Topological Networks of Flexible Polygonal Chains
Computational and Mathematical Biophysics, 2014 Trypanosomatida parasites, such as Trypanosoma and Leishmania, are the cause of deadly diseases in many third world countries. The three dimensional structure of their mitochondrial DNA, known as kinetoplast DNA (kDNA), is unique since it is organized ...
Arsuaga J. +3 more
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THE CONORMAL TORUS IS A COMPLETE KNOT INVARIANT
Forum of Mathematics, Pi, 2019 We use microlocal sheaf theory to show that knots can only have Legendrian isotopic conormal tori if they themselves are isotopic or mirror images.
VIVEK SHENDE
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DNA Knotting in Spooling Like Conformations in Bacteriophages
Computational and Mathematical Methods in Medicine, Volume 9, Issue 3-4, Page 303-316, 2008., 2008 A number of idealized models have been proposed to explain the long range organization of the DNA in bacteriophages. However, none of these models can account for the distributions of complex knots found when examining DNA extracted from bacteriophage P4 capsids.
J. Arsuaga, Y. Diao
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