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 five cube diagram moves. A knot homology is constructed from cube diagrams and shown to be equivalent to knot Floer homology. © 2012 World Scientific Publishing Company.
Publication Source (Journal or Book title)
Journal of Knot Theory and its Ramifications
Baldridge, S., & Lowrance, A. (2012). Cube diagrams and 3-dimensional reidemeister-like moves for knots. Journal of Knot Theory and its Ramifications, 21 (5) https://doi.org/10.1142/S0218216511009832