Cube diagrams and a homology theory for knots

Mathematics – Geometric Topology

Scientific paper

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31 pages, 34 figures

Scientific paper

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.

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