The Kawamuro Cone and the Jones Conjecture

Geometry Topology Seminar
Friday, November 22, 2013 - 14:05
1 hour (actually 50 minutes)
Skiles 006
U at Buffalo
We show that after stabilizations of opposite parity and braid isotopy, any twobraids in the same topological link type cobound embedded annuli. We use this to prove thegeneralized Jones conjecture relating the braid index and algebraic length of closed braidswithin a link type, following a reformulation of the problem by Kawamuro.  This is joint workwith Doug Lafountain.