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Dror Bar-Natan:
Talks:
# 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.