Birack Bracket Quivers and Framed Links
Geometric Topology
2026-02-09 v2 Quantum Algebra
Abstract
We introduce birack brackets, skein invariants of birack-colored framed classical and virtual knots and links with values in a commutative unital ring. The multiset of birack bracket values over the homset from a framed link's fundamental birack then forms an invariant of framed links. We then categorify this multiset to define a quiver-valued invariant of framed knots and links. From this quiver we define new polynomial invariants of framed knots and links.
Keywords
Cite
@article{arxiv.2511.13631,
title = {Birack Bracket Quivers and Framed Links},
author = {Sam Nelson and Haoqi Tom Tang},
journal= {arXiv preprint arXiv:2511.13631},
year = {2026}
}
Comments
15 pages; includes changes suggested by referee