Invariants from the Linking Number
H. A. Dye
TL;DR
This paper investigates a family of invariants derived from linking numbers, which are a type of finite type invariants within the Kauffman framework, contributing to knot theory.
Contribution
It introduces a new family of invariants based on linking numbers, expanding the understanding of finite type invariants in knot theory.
Findings
Identifies a new class of invariants from linking numbers
Establishes these invariants as Kauffman finite type
Provides theoretical foundations for these invariants
Abstract
We explore a family of invariants obtained from linking numbers. This is a family of Kauffman finite type invariants.
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Taxonomy
TopicsGeometric and Algebraic Topology · semigroups and automata theory · Advanced Combinatorial Mathematics