Virtual knot theory-unsolved problems

Roger Fenn, Louis H. Kauffman, and Vassily O. Manturov. "Virtual knot theory-unsolved problems." Fundamenta Mathematicae 188.1 (2005): 293-323. <http://eudml.org/doc/283331>.

@article{RogerFenn2005,
abstract = {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.},
author = {Roger Fenn, Louis H. Kauffman, Vassily O. Manturov},
journal = {Fundamenta Mathematicae},
keywords = {knot; link; virtual knot; invariant; Jones polynomial; fundamental group; quandle; biquandle; virtual quandle; long knot; Khovanov homology; atom; braid; virtual braid},
language = {eng},
number = {1},
pages = {293-323},
title = {Virtual knot theory-unsolved problems},
url = {http://eudml.org/doc/283331},
volume = {188},
year = {2005},
}

TY - JOUR
AU - Roger Fenn
AU - Louis H. Kauffman
AU - Vassily O. Manturov
TI - Virtual knot theory-unsolved problems
JO - Fundamenta Mathematicae
PY - 2005
VL - 188
IS - 1
SP - 293
EP - 323
AB - 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.
LA - eng
KW - knot; link; virtual knot; invariant; Jones polynomial; fundamental group; quandle; biquandle; virtual quandle; long knot; Khovanov homology; atom; braid; virtual braid
UR - http://eudml.org/doc/283331
ER -