Unsolved Problems in Virtual Knot Theory and Combinatorial Knot Theory
by R. Fenn, D.P. Ilyutko, L.H. Kauffman, V.O. Manturov
Publisher: arXiv 2014
Number of pages: 66
Description:
The purpose of this paper is to give an introduction to virtual knot theory and to record a collection of research problems that the authors have found fascinating. The second section of the paper introduces the theory and discusses some problems in that context.
Download or read it online for free here:
Download link
(760KB, PDF)
Similar books
The Hauptvermutung Book: A Collection of Papers on the Topology of Manifoldsby A.A. Ranicki, et al, - Springer
The Hauptvermutung is the conjecture that any two triangulations of a polyhedron are combinatorially equivalent. This conjecture was formulated at the turn of the century, and until its resolution was a central problem of topology.
(9520 views)
The Geometry and Topology of Three-Manifoldsby William P Thurston - Mathematical Sciences Research Institute
The text describes the connection between geometry and lowdimensional topology, it is useful to graduate students and mathematicians working in related fields, particularly 3-manifolds and Kleinian groups. Much of the material or technique is new.
(18092 views)
Surgical Methods in Rigidityby F.T. Farrell - Springer
This book is an introduction to the topological rigidity theorem for compact non-positively curved Riemannian manifolds. It contains a quick informal account of the background material from surgery theory and controlled topology prerequesite.
(7691 views)
Knot Diagrammaticsby Louis H. Kauffman - arXiv
This paper is a survey of knot theory and invariants of knots and links from the point of view of categories of diagrams. The topics range from foundations of knot theory to virtual knot theory and topological quantum field theory.
(6894 views)