Cars, Interchanges, Traffic Counters, and some Pretty Darned Good Knot Invariants

Using Quantum Invariants to do Interesting Topology, Oaxaca, October 2022.

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/oa22.

Links: AKT ap APAI AQDW DoPeGDO Dogma FDA J Ov Scha SolvApp

Handout: Cars.html, Cars.pdf.

After-talk writeup (for the version given in Nara): NaraTalkSummary.pdf.

Talk Video (also at YouTube, also @BIRS).

Sources: pensieve.

Album/2022.10.23_Oaxaca_South_Ride.

Album/2022.10.23-29_Oaxaca.

CMS-2212 version.