A prime decomposition theorem for the 2-string link monoid
Ryan Blair, John Burke, Robin Koytcheff
TL;DR
This paper explores the structure of the 2-string link monoid using 3-manifold techniques, establishing a prime decomposition theorem and conditions for commutativity.
Contribution
It introduces a prime decomposition theorem for 2-component string links and provides necessary conditions for their commutativity, advancing understanding of their algebraic structure.
Findings
Prime decomposition theorem for 2-string links
Necessary conditions for string link commutativity
Application of 3-manifold techniques to string link analysis
Abstract
In this paper we use 3-manifold techniques to illuminate the structure of the string link monoid. In particular, we give a prime decomposition theorem for string links on two components as well as give necessary conditions for string links to commute under the stacking operation.
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
TopicsGeometric and Algebraic Topology · semigroups and automata theory