Alexander-Conway Polynomial State Model and Link Homology
Louis H. Kauffman, Marithania Silvero
TL;DR
This paper connects the Formal Knot Theory state model for the Alexander-Conway polynomial with Knot Floer Homology, revealing a parity property that clarifies their relationship.
Contribution
It establishes a parity result linking the state model to Knot Floer Homology, enhancing understanding of their connection.
Findings
Proves a parity result about states in the model
Clarifies the relationship between the state model and Knot Floer Homology
Provides new insights into the structure of the Alexander-Conway polynomial
Abstract
This paper shows how the Formal Knot Theory state model for the Alexander-Conway polynomial is related to Knot Floer Homology. In particular we prove a parity result about the states in this model that clarifies certain relationships of the model with Knot Floer Homology.
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Taxonomy
TopicsGeometric and Algebraic Topology · Advanced Combinatorial Mathematics · semigroups and automata theory