TL;DR
This paper explores the fundamental properties of skein invariants in knot theory, discussing their defining relations and providing examples, to deepen understanding of their mathematical structure.
Contribution
It offers a systematic discussion of skein invariants' properties and compiles known examples, clarifying their role in knot theory.
Findings
Skein invariants are determined by finite skein relations.
Basic properties of skein invariants are elucidated.
Several known skein invariants are reviewed.
Abstract
A knot invariant is called skein if it is determined by a finite number of skein relations. In the paper we discuss some basic properties of skein invariants and mention some known examples of skein invariants.
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Taxonomy
TopicsGeometric and Algebraic Topology · Advanced Operator Algebra Research · Advanced Algebra and Geometry