A Note on the Unitarity Property of the Gassner Invariant
Dror Bar-Natan
TL;DR
This paper provides a concise overview of the Gassner invariant for braids, including a proof of its unitarity property, highlighting its mathematical significance in braid theory.
Contribution
It offers a clear, brief description and a proof of the unitarity of the Gassner invariant, which was previously not explicitly demonstrated.
Findings
Proof of the unitarity property of the Gassner invariant
Concise description of the Gassner representation of braids
Enhanced understanding of the mathematical structure of braid invariants
Abstract
We give a 3-page description of the Gassner invariant / representation of braids / pure braids, along with a description and a proof of its unitarity property.
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 · Homotopy and Cohomology in Algebraic Topology · Advanced Algebra and Geometry