The entropy formula for the Ricci flow and its geometric applications · HackerPapers discussions

The entropy formula for the Ricci flow and its geometric applications — mentioned by contubernio

Fri, 20 Mar 2026 11:25:39 GMT

A Fields medal was awarded based mainly on this paper never published elsewhere: https://arxiv.org/abs/math/0211159

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The entropy formula for the Ricci flow and its geometric applications — HN submission

Sun, 07 Sep 2025 23:27:54 GMT

The entropy formula for the Ricci flow and its geometric applications

3 points; 0 discussion replies on HN. Paper and source history. A submission is not an endorsement.

The entropy formula for the Ricci flow and its geometric applications — mentioned by orbifold

Thu, 28 Feb 2019 23:19:42 GMT

The starting point of Perelman's proof is the observation that (a modified version of) the Ricci flow is a gradient flow. The connection to 2d non-linear sigma models is briefly discussed in section 2 of the introduction in https://arxiv.org/pdf/math/0211159.pdf and section 1.4*. The overall intuition is that string theory captures the geometry of the back ground Riemannian manifold.

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The entropy formula for the Ricci flow and its geometric applications — mentioned by smarx007

Wed, 02 Aug 2017 17:43:37 GMT

https://arxiv.org/abs/math/0211159 https://arxiv.org/abs/math/0303109 https://arxiv.org/abs/math/0307245

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The entropy formula for the Ricci flow and its geometric applications — mentioned by evanpw

Tue, 13 Jan 2015 20:29:35 GMT

One example of this happening: Perlman's proof of the Poincare conjecture was posted on the arXiv first (http://arxiv.org/abs/math/0211159). In fact, I don't think it was ever formally published.

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The entropy formula for the Ricci flow and its geometric applications — mentioned by sireat

Mon, 17 May 2010 09:41:20 GMT

Here is a notable exception of a non-peer-reviewed paper which did have "some" impact: http://arxiv.org/abs/math.DG/0211159 As a place to stake one's claim(sure beats making anagrams as in 17th century) and disseminate knowledge arxiv seems like a good place to be.

Paper and discussion history. A mention is not an endorsement.