Timeline for What prerequisites do I need to read the book Ricci Flow and the Poincare Conjecture, published by CMI
Current License: CC BY-SA 3.0
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Mar 1, 2012 at 9:00 | comment | added | user18717 | Your answer is quite encouraging!!!..I will start my learning journey!.. | |
Mar 1, 2012 at 8:59 | vote | accept | user18717 | ||
Feb 29, 2012 at 12:26 | comment | added | Thomas Richard | The book by Chow and Knopf is in my opinion the best available place to learn about Ricci Flow for itself, and its 3 sequels entitled "Ricci and its applications" are excellent references for any one working in the field. I should add two more references for Ricci flow for itself, there is the book by Chow, Lu and Ni "Hamilton's Ricci flow" which in my opinion is a bit harder than Chow and Knopf but covers a bit more material. There are also notes by P. Topping, available on his website, which goes up to the beginning of Perelman's work (F and W functionals) in a nice self-contained way. | |
Feb 29, 2012 at 9:59 | comment | added | Deane Yang | I also endorse Jonny's endorsement of the books written by Ben Chow with others (disclaimer: Ben and I have been friends since graduate school). I think Ben and his co-authors have gone to great pains to present the foundations of the Ricci flow very carefully and in great detail. | |
Feb 29, 2012 at 9:19 | history | edited | Jonny Evans | CC BY-SA 3.0 |
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Feb 29, 2012 at 9:09 | history | edited | Jonny Evans | CC BY-SA 3.0 |
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Feb 29, 2012 at 9:04 | comment | added | Deane Yang | As you say, Perelman's proof is completely different from Thurston-style topology. I am under the impression that you don't need to know much of the latter to understand Perelman's proof, which is all either analytic estimates or a careful geometric analysis of regions of the 3-manifold where the flow breaks down. It is useful to know at least a little bit of 3-manifold topology. In addition to Thurston's book, I recall a nice Bulletin of the AMS survey by Peter Scott. | |
Feb 29, 2012 at 8:13 | history | answered | Jonny Evans | CC BY-SA 3.0 |