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© | << < ? > >> | Dror Bar-Natan: Talks:

A Seifert Dream

N+12th Southern California Topology Colloquium, Pitzer College, March 8, 2025

Abstract. Given a knot $K$ with a Seifert surface $\Sigma$, I dream that the well-known Seifert linking form $Q$, a quadratic form on $H_1(\Sigma)$, has plenty docile local perturbations $P_\epsilon$ such that the formal Gaussian integrals of $\exp(Q+P_\epsilon)$ are invariants of $K$.

In my talk I will explain what the above means, why this dream is oh so sweet, and why it is in fact closer to a plan than to a delusion.

Joint with Roland van der Veen.

URL: http://drorbn.net/pi25.

Links: APAI DD DHOEBL DK DPG Ov Scha TK ap ge24 icbs24

Handout: ASD.html, ASD.pdf.

Talk Video@YouTube.

Talk Video (mp4).

My previous SCTC, my previous day.

Sources: pensieve/Pitzer-250308, pensieve/UBC-241004, pensieve/Toronto-241030.