Abstract. Reporting on joint work with Roland van der Veen, I'll tell you some stories about $\rho_1$, an easy to define, strong, fast to compute, homomorphic, and well-connected knot invariant. $\rho_1$ was first studied by Rozansky and Overbay, it is dominated by the coloured Jones polynomial (but it isn't lesser!), it has far-reaching generalizations, and I wish I understood it.
URL: http://drorbn.net/wat23.
Links: AKT ap APAI AQDW DoPeGDO Dogma FDA J Ov Scha SolvApp
Talk Video
(for the version given in Oaxaca;
also at YouTube
and at @BIRS).
After-talk writeup (for the version given in Nara): NaraTalkSummary.pdf.
Sources: pensieve.