This paper is a concise introduction to virtual knot theory, coupled with a list of research problems in this field.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc103-0-1, author = {Roger Fenn and Denis P. Ilyutko and Louis H. Kauffman and Vassily O. Manturov}, title = {Unsolved problems in virtual knot theory and combinatorial knot theory}, journal = {Banach Center Publications}, volume = {102}, year = {2014}, pages = {9-61}, zbl = {1310.57010}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc103-0-1} }
Roger Fenn; Denis P. Ilyutko; Louis H. Kauffman; Vassily O. Manturov. Unsolved problems in virtual knot theory and combinatorial knot theory. Banach Center Publications, Tome 102 (2014) pp. 9-61. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc103-0-1/