LINKS WITH TRIVIAL JONES POLYNOMIAL

49 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Knot Diagrammatics (2004, background): “There do exist families of links whose linkedness is undectable by the Jones polynomial [146, 147].”
Khovanov module and the detection of unlinks (2012, background): “Interest in this question is heightened by the existence of infinite families of links which have the same Jones polynomial as unlinks with two or more components [4, 43].”
A link-splitting spectral sequence in Khovanov homology (2013, background): “In contrast, there are infinite families of links with the same Jones polynomial as the unlink [7, 28].”
An Extended Bracket Polynomial for Virtual Knots and Links (2007, background): “ing an extension of the bracket polynomial. It is an open problem whether there are classical knots (actually knotted) having unit Jones polynomial. (There are linked links whose linkedness is unseen [30, 6] by the Jones polynomial.) If there exists a classical knot with unit Jones polynomial, then ”
Virtual knot theory-unsolved problems (2005, unknown): “…[23] [24] [25] [26] [31] [33] [34] [36] [37] [38] [39] [40] [41] [43] [50] [51] [55] [58] [59] [60] [61] [62] [64] [65] [67] [68] [70] [72] [73] [74] [75] [76] [78] [79] [80] [81] [82] [84] [86] [87] [88] [83] [90] [93] [94] [95] [96] [97] [98] [99] [100] [101] [102] [103] [104] [105] [106] [109].”
INTRODUCTION TO VIRTUAL KNOT THEORY (2011, background): “(There are linked links whose linkedness is uns ee [42, 5] by the Jones polynomial.”