A teacup is a doughnut, some Krispy Kreme-snatching topologist will have you believe, but is a simply connected closed three-manifold a three-sphere?
According to this gem of mathematical correspondence, it very will might be:
----- Forwarded message from Grigory Perelman
Date: Wed, 20 Nov 2002 11:46:49 +0300 (MSK)
From: Grigory Perelman
Reply-To: Grigory Perelman
Subject: Re: geometrization
To: Vitali Kapovitch
That's correct.
Grisha
On Tue, 19 Nov 2002, Vitali Kapovitch wrote:
> Hi Grisha,
> Sorry to bother you but a lot of people are asking me about your preprint
> "The entropy formula for the Ricci...". Do I understand it correctly
> that while you can not yet do all the steps in the Hamilton program
> you can do enough so that using some collapsing results you can prove
> geometrization?
> Vitali
>
----- End forwarded message -----
That's Grisha Perelman who will claim one million dollars if he has indeed proven the Poincare Conjecture.
While I might not know much about topology, this is starting to look like the real deal, so you'll understand if you see me sitting on our roof with a shotgun to ward off white-board looters. I only hope that Gainesville PD will take a page from Chicago's playbook:
"Math hooligans are the worst," said a Chicago Police Department spokesman. "But the city learned from the Bieberbach riots. We were ready for them this time."
I say give 'em mounted police and tear gas, damn punks.