Quantum Topology / Hopf Algebra Seminar
Aaron Kaestner
UIC
Calculating a Categorification of the Arrow Polynomial
Abstract: Dye, Kauffman and Manturov study a categorication of the
arrow polynomial invariant of virtual knots and links in:
arXiv:0906.3408
"On two categorifications of the arrow polynomial for virtual knots".
This talk will (continuing from last week) discuss the mathematics of
the arrow polynomial categorification and the operation of a
computer program to calculate this categorification. Examples will be
discussed (e.g. the Kishino knot) where the arrow categorification detects
knottedness but the mod-2 Khovanov categorification (for virtual knots)
does not.
Thursday October 15, 2009 at 3:00 PM in SEO 512