© | << < ? > >> |
Dror Bar-Natan:
Talks:
# Meta-Groups, Meta-Bicrossed-Products, and the Alexander Polynomial

#### Buffalo, March 9, 2012

**Abstract.** A straightforward proposal for a group-theoretic
invariant of knots fails if one really means groups, but works once
generalized to meta-groups (to be defined). We will construct one
complicated but elementary meta-group as a meta-bicrossed-product (to be
defined), and explain how the resulting invariant is a not-yet-understood
generalization of the Alexander polynomial, while at the same time
being a specialization of a somewhat-understood "universal finite type
invariant of w-knots" and of an elusive "universal finite type invariant
of v-knots".

This will be an informal talk in the spirit of the talk I will be
giving next week at Knots in Washington XXXIV.

**Talk video.** ,
**Handout:**
beta.html,
beta.pdf,
beta.png,
**Sources:** beta.zip,
**Pensieve:** 2012-03.