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Apr 1, 2003, 10:32:40 AM4/1/03

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Some time ago on this forum there was some discussion as to whether Grisha

Perelman claimed to be able to prove the Poincare conjecture. I noticed

today that he posted a preprint to the ArXiv last month.

Perelman claimed to be able to prove the Poincare conjecture. I noticed

today that he posted a preprint to the ArXiv last month.

http://arxiv.org/abs/math.DG/0303109

Am I right in concluding that his statements here mean that he is now *not*

claiming such a proof, if indeed he ever did claim one?

By the way, Perelman is giving a series of lectures at MIT next week, which

unfortunately I won't be able to attend.

--

Tim Chow tchow-at-alum-dot-mit-dot-edu

The range of our projectiles---even ... the artillery---however great, will

never exceed four of those miles of which as many thousand separate us from

the center of the earth. ---Galileo, Dialogues Concerning Two New Sciences

Apr 4, 2003, 1:18:35 PM4/4/03

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In article <b6cbeo$6dp$1...@galois.mit.edu>, <tc...@lsa.umich.edu> wrote:

>Some time ago on this forum there was some discussion as to whether Grisha

>Perelman claimed to be able to prove the Poincare conjecture. I noticed

>today that he posted a preprint to the ArXiv last month.

>

> http://arxiv.org/abs/math.DG/0303109

>

>Am I right in concluding that his statements here mean that he is now *not*

>claiming such a proof, if indeed he ever did claim one?

>Some time ago on this forum there was some discussion as to whether Grisha

>Perelman claimed to be able to prove the Poincare conjecture. I noticed

>today that he posted a preprint to the ArXiv last month.

>

> http://arxiv.org/abs/math.DG/0303109

>

>Am I right in concluding that his statements here mean that he is now *not*

>claiming such a proof, if indeed he ever did claim one?

At the end of his first article, math.DG/0211159, Perelman does claim

to know how to prove the Poincare conjecture, although there he only

gives a bare outline of the argument. He confirmed this in e-mail, for

instance in a message reposted at http://www.lehigh.edu/~dmd1/vk1120.txt .

Judging by the abstract, math.DG/0303109 is not a complete proof. But it

is not a retraction either. So I think that a fair summary of the arXiv

articles is that he still claims to know how to prove geometrization

and that the second article is part of the claimed proof.

--

/\ Greg Kuperberg (UC Davis)

/ \

\ / Visit the Math ArXiv Front at http://front.math.ucdavis.edu/

\/ * All the math that's fit to e-print *

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