Cube diagrams and 3-dimensional Reidemeister-like moves for knots
Geometric Topology
2012-05-24 v2 Symplectic Geometry
Abstract
In this paper we introduce a representation of knots and links called a cube diagram. We show that a property of a cube diagram is a link invariant if and only if the property is invariant under two types of cube diagram operations. A knot homology is constructed from cube diagrams and shown to be equivalent to knot Floer homology.
Keywords
Cite
@article{arxiv.0811.0225,
title = {Cube diagrams and 3-dimensional Reidemeister-like moves for knots},
author = {Scott Baldridge and Adam Lowrance},
journal= {arXiv preprint arXiv:0811.0225},
year = {2012}
}
Comments
31 pages, 34 figures. Final version published by J. Knot Theory Ramifications