A three parameter invariant of oriented links
Bruce W. Westbury
TL;DR
This paper introduces a new three-parameter invariant for oriented links derived from a sequence of finite-dimensional algebras related to braid groups, expanding the tools for link classification.
Contribution
It constructs a novel three-parameter link invariant using a sequence of algebras and Markov traces, generalizing existing invariants.
Findings
Defines a new algebraic sequence depending on three parameters
Establishes a one-parameter family of Markov traces
Produces a three-parameter invariant of oriented links
Abstract
This paper defines a new sequence of finite dimensional algebras as quotients of the group algebras of the braid groups. This sequence depends on three homogeneous parameters and has a one-parameter family of Markov traces, and so gives a three parameter invariant of oriented links.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Operator Algebra Research · Geometric and Algebraic Topology · Algebraic structures and combinatorial models