New invariants of knotoids
WebSemantic Scholar extracted view of "New invariants of knotoids" by N. Gügümcü et al. Skip to search form Skip to main content Skip to account menu. Semantic Scholar's … Web5 jun. 2024 · In this paper the notion of a knotoid diagram is generalized to include a framing, in analogy to framed knots. It is generally easier to construct invariants of framed knots since framed knot diagrams have fewer allowed Reidemeister moves …
New invariants of knotoids
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Web5 jun. 2024 · The classification of knotoids on the sphere with up to 6 crossings is complete , and makes use of strong knotoid invariants such as the arrow polynomial from and the … Web25 mrt. 2024 · We generalize Niebrzydowski’s biquandle longitude invariant for virtual long knots to obtain new invariants for knotoids. We show that biquandle invariants can detect mirror images of knotoids and show that our enhancements are proper in the sense that knotoids which are not distinguished by the counting invariant are distinguished by our …
WebI am a geometric-topologist and my primary area of research is knot theory, braid groups and 3-manifolds. My research focuses on the construction … Web1 feb. 2024 · In this paper we construct new invariants of knotoids including the odd writhe, the parity bracket polynomial, the affine index polynomial and the arrow …
WebKnotoids, knots, polynomial invariants. 1. Introduction Knotoids were first introduced by Turaev in [12] and were further studied by Neslihan G¨ug¨umc¨u and Louis Kauffman in [5]. For other major refer-ences on knotoids see [4,6,7]. Knotoids are mostly studied on the 2-sphere S 2(called spherical knotoids) and in the two-dimensional space ... Web26 jun. 2024 · Recently, knotoids have been studied in the field of biochemistry as they suggest new topological models for open linear protein chains. The invariants introduced in [ 12, 14, 31] have been used for determining the topological entanglement of open protein chains in [ 10, 11 ].
WebIn this paper we construct new invariants of knotoids including the odd writhe, the parity bracket polynomial, the affine index polynomial and the arrow polynomial, and give an introduction to the theory of virtual knotoids. The invariants in this paper are defined for classical knotoids in analogy to corresponding invariants of virtual knots. heronsgate primary school in thamesmeadWebNew invariants in the theory of knots L. Kauffman Published 1 March 1988 Mathematics American Mathematical Monthly Approche diagrammatique des invariants dans la theorie des nœuds. Relations avec la theorie des graphes, la physique et d'autres sujets. Construction du polynome de Jones et de son algebre associee. Generalisations du … max spielmann sheffieldWeb23 apr. 2024 · In this paper, we construct quantum invariants for knotoid diagrams in $${{\\mathbb {R}}}^2$$ R 2 . The diagrams are arranged with respect to a given direction … max spielmann shirleyWebWe extend the theory of Vassiliev (or finite type) invariants for knots to knotoids using two different approaches. Firstly, we take closures on knotoids to obtain knots and we use the Vassiliev invariants for knots, proving that these are knotoid isotopy invariant. max spielmann swadlincoteWeb1 jan. 1975 · New invariants of knotoids. European Journal of Combinatorics, Volume 65, 2024, pp. 186-229. Show abstract. In this paper we construct new invariants of knotoids including the odd writhe, the parity bracket polynomial, the affine index polynomial and the arrow polynomial, and give an introduction to the theory of virtual knotoids. max spielmann shops in ukWeb11 jul. 2024 · We show how invariants of knotoids generally give rise to well-behaved measures of how much an open curve is knotted. We define biframed planar knotoids, … max spielmann south shieldsWeb1 feb. 2024 · Our invariant of spherical knotoids and spherical 2-polar knots, denoted by Xs, involves four variables. We also define some geometric invariants of 2-polar knots … max spielmann trowbridge