[FOM] Poincare conjecture update

Timothy Y. Chow tchow at alum.mit.edu
Tue Aug 8 10:21:07 EDT 2006


A couple of months ago, Joe Shipman inquired about the Poincare 
conjecture, and I mentioned the notes by Kleiner and Lott as well as the 
introduction to the paper by Cao and Zhu.  FOM references:

http://www.cs.nyu.edu/pipermail/fom/2006-June/010615.html
http://www.cs.nyu.edu/pipermail/fom/2006-June/010619.html
http://www.cs.nyu.edu/pipermail/fom/2006-July/010664.html

Since then the full text of the Cao-Zhu paper has appeared (300+ pages):

Huai-Dong Cao and Xi-Ping Zhu
A Complete Proof of the Poincare and Geometrization Conjectures -
application of the Hamilton-Perelman theory of the Ricci flow
Asian J. Math. 10 (2006), 165-492
http://www.intlpress.com/AJM/p/2006/10_2/AJM-10-2-165-492.pdf

Also, John W. Morgan and Gang Tian have uploaded a manuscript of their 
500-page book to the Los Alamos ArXiv:

http://arxiv.org/abs/math.DG/0607607

Morgan and Tian were supported by the Clay Mathematics Institute; see in 
particular their acknowledgments on pages 34-35.

Tim Chow


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