NP–hard problems naturally arising in knot theory

Some Problems Arising from Homotopy-theoretic Methods in Knot Theory

This is a partial list of some interesting questions that arose in the past decade or so from applications of homotopy-theoretic methods in knot and link theory. The ones I have in mind (because those are the ones I am familiar with) are manifold calculus of functors, cosimplicial spaces, and operad actions. (Some problems are also about configuration space integrals as they have proven to be a...

Problems in Knot Theory

Virtual Knot Theory – Unsolved Problems

Roger Fenn University of Sussex Department of Mathematics Sussex BN1 9RF, England [email protected] and Louis H. Kauffman Department of Mathematics, Statistics and Computer Science University of Illinois at Chicago 851 South Morgan St., Chicago IL 60607-7045, USA [email protected] and Vassily O. Manturov Moscow State University Department of Mechanics and Mathematics 119992, GSP-2,Leninskie Go...

M ay 2 00 5 Virtual Knot Theory – Unsolved Problems

Roger Fenn University of Sussex Department of Mathematics Address, Sussex, England [email protected] and Louis H. Kauffman Department of Mathematics, Statistics and Computer Science University of Illinois at Chicago 851 South Morgan St., Chicago IL 60607-7045, USA [email protected] and Vassily O. Manturov Moscow State University Department of Mechanics and Mathematics 119992, GSP-2,Leninskie G...

Knot Theory