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Dror Bar-Natan:
Talks:
# Meta-Groups, Meta-Bicrossed-Products, and the Alexander Polynomial

### University of Sheffield Maths Colloquium, February 6, 2013

This will be a repeat of a talk I gave at at Newton Institute last month, though with some
modifications.
**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.

All the terms used in the above paragraph will be defined during my talk.

**Handout:**
beta.html,
beta.pdf,
beta.png.
**Sources:** beta.zip.
**Pensieve:** 2012-08.