Dynnikov: arc-presentations of links
WebJan 1, 2011 · In a recent work "Arc-presentation of links: Monotonic simplification", Dynnikov shows that each rectangular diagram of the unknot, composite link, or split link can be monotonically simplified ... Web(2006) Dynnikov. Fundamenta Mathematicae. In the early 90's J. Birman and W. Menasco worked out a nice technique for studying links presented in the form of a closed braid. …
Dynnikov: arc-presentations of links
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WebIvan Dynnikov discovered it when he was working on his manuscript [7], where he established two theorems about arc presentations of links which are similar to the two theorems that we had proved for closed braid presentations in [3]. His proof was a modification of our proof to new WebMay 28, 2010 · In a recent work "Arc-presentation of links: Monotonic simplification" Ivan Dynnikov showed that each rectangular diagram of the unknot, composite link, or split link can be monotonically simplified into a trivial, composite, or split diagram, respectively. The following natural question arises: Is it always possible to simplify monotonically a …
WebArc-presentations of links. Monotonic simplification I.A.Dynnikov Dept. of Mech. & Math. Moscow State University Moscow 119992 GSP-2, Russia e-mail: … WebDynnikov, Ivan Abstract We prove that any arc-presentation of the unknot admits a monotonic simplification by elementary moves; this yields a simple algorithm for …
WebAbstract Let L be a Montesinos link M ( − p, q, r) with positive rational numbers p, q and r, each less than 1, and c ( L) the minimal crossing number of L. Herein, we construct arc … WebTY - JOUR AU - I. A. Dynnikov TI - Arc-presentations of links: Monotonic simplification JO - Fundamenta Mathematicae PY - 2006 VL - 190 IS - 1 SP - 29 EP - 76 AB - In the …
Web$\begingroup$ Dynnikov's paper "Arc-presentations of links. Monotonic simplification" (arXiv:0208153) was mentioned several times in answers to the unknot recognition question. The algorithm in that paper can also recognize split links and hence unlinks, and it does so without ever increasing the size of the diagram, but I don't think there are any good (e.g. …
citgo west gardiner maineWebHere we exhibit a further development of that technique and of the theory of arc-presentations, and prove that any arc-presentation of the unknot admits a (non-strictly) … citgo wex card loginWebJul 10, 2024 · We introduce a new very large family of transformations of rectangular diagrams of links that preserve the isotopy class of the link. We provide an example when two diagrams of the same complexity are related by such a transformation and are not obtained from one another by any sequence of “simpler” moves not increasing the … diane\u0027s bloody mary mixWebAug 21, 2002 · A few years later P. Cromwell adapted Birman-Menasco's method for studying so-called arc-presentations of links and … citgo westmont ilWebBirman and Menasco introduced arc-presentation of knots and links in [], and Cromwell formulated it in [].Dynnikov pointed out in [] and [] that Cromwell’s argument in [] almost shows that any arc-presentation of a split link can be deformed into one which is ‘ ‘ visibly split” by a finite sequence of exchange moves. He also showed that any arc … citgo west hartford ctWebLet L be a Montesinos link M (− p, q, r) with positive rational numbers p, q and r, each less than 1, and c (L) the minimal crossing number of L. Herein, we construct arc presentations of L with c (L), c (L) − 1 and c (L) − 2 arcs under some conditions for p, q and r. Furthermore, we determine the arc index of infinitely many Montesinos ... citgo wex log inWebpowerful result proven by Dynnikov in [4] regarding arc-presentations of knots. Arc-presentations are special types of rectangular diagrams, i.e., knot diagrams that are composed entirely of horizontal and vertical lines. Here, we provide an overview of the theory of arc-presentations. In Figure6, we give an example of a rectangular diagram citgo wex fleet login