Virtual knot theory - unsolved problems

被引：29
作者：
Fenn, R [1 ]
Kauffman, LH
Manturov, VO
机构：
[1] Univ Sussex, Dept Math, Brighton BN1 9RF, E Sussex, England
[2] Univ Illinois, Dept Math Stat & Comp Sci, Chicago, IL 60607 USA
[3] Moscow MV Lomonosov State Univ, Dept Mech & Math, Moscow 119992, Russia
来源：
FUNDAMENTA MATHEMATICAE | 2005年 / 188卷
关键词：
knot; link; virtual knot; invariant; Jones polynomial; fundamental group; quandle; biquandle; virtual quandle; long knot; Khovanov homology; atom; braid; virtual braid;
D O I：
10.4064/fm188-0-13
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The present paper gives a quick survey of virtual and classical knot theory and presents a list of unsolved problems about virtual knots and links. These are all problems in low-dimensional topology with a special emphasis on virtual knots. In particular, we touch new approaches to knot invariants such as biquandles and Khovanov homology theory. Connections to other geometrical and combinatorial aspects are also discussed.
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收藏
页码：293 / 323
页数：31
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