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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeJun 22nd 2010
   • (edited Jun 22nd 2010)
   • PermaLink
   Author: Urs
   Format: MarkdownItexsince it was demanded at the "counterexamples"-page, I created [[3-manifold]]. This made me create [[Poincare conjecture]]. I find it striking that Hamilton's Ricci flow program and Perelman's proof by adding the dilaton hasn't found more resonance in the String theory community. After all, this shows a deep fact about the renormalization group flow of non-critical strings on 3-dimensional targets with gravity and dilaton background. I once chatted with Huisken and indicated that this suggests that there is a more general interesting mathematical problem where also the [[Kalb-Ramond field]] background is taken into account. I remember him being interested, but haven't heard that anyone in this area has extended Perelman's method to the full massles string background content. Has anyone?

   since it was demanded at the “counterexamples”-page, I created 3-manifold. This made me create Poincare conjecture.

   I find it striking that Hamilton’s Ricci flow program and Perelman’s proof by adding the dilaton hasn’t found more resonance in the String theory community. After all, this shows a deep fact about the renormalization group flow of non-critical strings on 3-dimensional targets with gravity and dilaton background.

   I once chatted with Huisken and indicated that this suggests that there is a more general interesting mathematical problem where also the Kalb-Ramond field background is taken into account. I remember him being interested, but haven’t heard that anyone in this area has extended Perelman’s method to the full massles string background content. Has anyone?