Results 1 to 10 of about 2,120 (58)
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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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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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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On modules over Laurent polynomial rings [PDF]
, 2010 A finitely generated module over the ring L=Z[t, t^{-1}] of integer Laurent polynomials that has no Z-torsion is determined by a pair of sub-lattices of L^d.
Silver, Daniel S., Williams, Susan G.
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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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A note on a topological approach to the $\mu$-constant problem in dimension 2 [PDF]
, 2013 We provide an example, which shows that studying homological and homotopical properties of cobordisms between arbitrary, that is not necessarily negative, graph manifolds is not enough to prove the $\mu$-constant conjecture of Le Dung Trang in complex ...
Borodzik, Maciej, Friedl, Stefan
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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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Introduction to disoriented knot theory
Open Mathematics, 2018 This paper is an introduction to disoriented knot theory, which is a generalization of the oriented knot and link diagrams and an exposition of new ideas and constructions, including the basic definitions and concepts such as disoriented knot ...
Altıntaş İsmet
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Quandle and Biquandle Homology Calculation in R
Journal of Open Research Software, 2018 In knot theory several knot invariants have been found over the last decades. This paper concerns itself with invariants of several of those invariants, namely the Homology of racks, quandles, biracks and biquandles.
Roger Fenn, Ansgar Wenzel
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