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

Handout: beta.html, beta.pdf, beta.png. Sources: beta.zip.
Talk video:
See the paper.

Meta-Groups, Meta-Bicrossed-Products, and the Alexander Polynomial

Geneva Geometry and Topology Seminar, October 24, 2013

Abstract. I will define "meta-groups" and explain how one specific meta-group, which in itself is a "meta-bicrossed-product", gives rise to an "ultimate Alexander invariant" of tangles, that contains the Alexander polynomial (multivariable, if you wish), has extremely good composition properties, is evaluated in a topologically meaningful way, and is least-wasteful in a computational sense. If you believe in categorification, that's a wonderful playground.