Dynnikov: arc-presentations of links
WebThis SRS’s primary responsibilities include leadership and close collaboration with education researchers within ARC and across NORC to develop new research projects, design and … WebIvan DYNNIKOV Cited by 988 of Lomonosov Moscow State University, Moscow (MSU) Read 109 publications Contact Ivan DYNNIKOV ... Arc-presentations of links. …
Dynnikov: arc-presentations of links
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WebJun 26, 2024 · Grid diagrams were first introduced by Cromwell, Dynnikov and Brunn [2,3,4] and have gained popularity since the use of grids to give a combinatorial definition of … WebSep 4, 2024 · 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 ...
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 … WebNov 3, 2024 · For instance, Dynnikov diagrams with vertical and horizontal lines can be used to represent and solve knots; these are called “arc-presentations” and their complexity is equivalent to the number of the vertical lines of the diagram and, following a theorem by Dynnikov , every knot has an arc-presentation (Fig. 17.4).
Webpowerful 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 ... http://math.columbia.edu/~jb/slvcb-iv-erratum.pdf
WebIvan DYNNIKOV Cited by 988 of Lomonosov Moscow State University, Moscow (MSU) Read 109 publications Contact Ivan DYNNIKOV ... Arc-presentations of links. Monotonic simplification. Article ...
WebJul 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 … dhl billing supportWebIvan 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 cignus dg 800WebLet 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 ... cignus radio downloadWebBirman 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 … cignys 31010-24WebCiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): Arc-presentations of links were introduced by J.Birman and W. Menasco, some basic … cignus gmbhWebHere 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) … dhl blackpool corkWebIn this paper, we prove a theorem that allows one to evaluate the Heegaard-Floer homology of a link with trivial component added through the Heegaard-Floer homology of the initial … cignys 43650