Dennis Overbye has a great article in the NYT today about the resolution(?) of Poincare's conjecture. He does an excellent job describing both the conjecture itself and the main line of attack that Perelman follows, while narrating the history of the proof both accurately and without unnecessary romanticization of the mathematicians involved.
For a more detailed nontechnical survey that goes more into the roles of the different players, see Allyn Jackson's article on the latest Notices of the AMS. A more technical account is presented in a manuscript by Shing-Tung Yau.
http://www.newyorker.com/fact/content/articles/060828fa_fact2
ReplyDeletePosted by Dmitry Sustretov
Poincare conjecture is very important for mathemetical and phyisical world.The proof of this conjecture,doubtless, will bring to science world new thinks and approachs. we saw in history the similarities of this. For example; einstein's the theory of relativity, as mathematical, is to based on The Poincere and Minkowsky mathenatics. Big-bang's mathematical conjecture is also to based on Poincare. Poincare conjecture, we hope that, will open new horizons in cosmology.
ReplyDeleteMehmet Taskan
Phycicst/TURKEY
Posted by mehmet