Virtual knot theory-unsolved problems

• Autorzy: Roger Fenn , Louis H. Kauffman , Vassily O. Manturov
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 57M25: Knots and links in S 3

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2005
• Tom: 188
• Numer: 1
• Strony: 293-323

Daty

wydano

2005

Twórcy

autor

Roger Fenn

• Department of Mathematics, University of Sussex, Sussex BN1 9RF, England

autor

Louis H. Kauffman

• Department of Mathematics, Statistics and Computer Science, University of Illinois at Chicago, 851 South Morgan St., Chicago, IL 60607-7045, U.S.A.

autor

Vassily O. Manturov

• Department of Mechanics and Mathematics, Moscow State University, 119992, GSP-2, Leninskie Gory, MSU, Moscow, Russia

Identyfikatory

DOI

10.4064/fm188-0-13