User yougeeaw - MathOverflowmost recent 30 from http://mathoverflow.net2013-05-22T20:58:11Zhttp://mathoverflow.net/feeds/user/14559http://www.creativecommons.org/licenses/by-nc/2.5/rdfhttp://mathoverflow.net/questions/24132/what-are-examples-of-mathematical-concepts-named-after-the-wrong-people-stigler/69830#69830Answer by Yougeeaw for What are examples of mathematical concepts named after the wrong people? (Stigler's law)Yougeeaw2011-07-08T21:08:57Z2011-07-08T21:08:57Z<p>The notion of Frobenius manifold is due to Dubrovin</p>
http://mathoverflow.net/questions/62544/homotopy-type-of-hilbert-schemes-of-points-of-mathbb-c2Homotopy type of Hilbert schemes of points of $\mathbb C^2$Yougeeaw2011-04-21T15:55:06Z2011-04-22T16:24:52Z
<p>Let $X=\mathbb C^2$, let $X^{[n]}$ be the Hilbert scheme of length $n$ 0-cycles in $X$, and let $X^{[n]}_0$ be the closed subscheme formed by the 0-cycles supported at 0. As far as I know $X^{[n]}_0$ and $X^{[n]}$ have the same homotopy type. Can anybody suggest a proof? (according to Nakajima this can be proved by adapting an argument of Slodowy (Four lectures on simple groups and singularities, Section 4.3) but I am unable to do it...)</p>
http://mathoverflow.net/questions/62544/homotopy-type-of-hilbert-schemes-of-points-of-mathbb-c2/62634#62634Comment by YougeeawYougeeaw2011-09-01T18:10:10Z2011-09-01T18:10:10ZThe idea is intuitively attractive, but I am unable to make it into a rigorous proof.http://mathoverflow.net/questions/62544/homotopy-type-of-hilbert-schemes-of-points-of-mathbb-c2/62578#62578Comment by YougeeawYougeeaw2011-09-01T18:09:24Z2011-09-01T18:09:24ZYep, you get to proving the isomorphism of the homotopy groups by using relative Hurewicz. And then you prove that the two spaces are homotopy equivalent.http://mathoverflow.net/questions/24132/what-are-examples-of-mathematical-concepts-named-after-the-wrong-people-stigler/69830#69830Comment by YougeeawYougeeaw2011-08-31T10:17:11Z2011-08-31T10:17:11ZWhy -2 votes???http://mathoverflow.net/questions/62544/homotopy-type-of-hilbert-schemes-of-points-of-mathbb-c2/62578#62578Comment by YougeeawYougeeaw2011-04-22T12:06:16Z2011-04-22T12:06:16ZThank you. I can follow this until proving the isomorphism between the homologies. I have some problems with the homotopy. But I will review the argument again.