Does any one understand the details of M Kazarian's work in enumerative geometry of \$\mathbb{C}\mathbb{P}^2\$ ? - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-19T06:21:34Z http://mathoverflow.net/feeds/question/36152 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/36152/does-any-one-understand-the-details-of-m-kazarians-work-in-enumerative-geometry Does any one understand the details of M Kazarian's work in enumerative geometry of \$\mathbb{C}\mathbb{P}^2\$ ? Ritwik 2010-08-20T01:27:14Z 2010-08-25T23:31:15Z <p>I wanted to know if anyone understood the details of the paper</p> <p>"Multisingularities, cobordisms, and enumerative geometry" available at the site</p> <p><a href="http://www.mi.ras.ru/~kazarian/" rel="nofollow">http://www.mi.ras.ru/~kazarian/</a>.</p> <p>In particular does any one follow how the author actually got all the expressions for \$S_{A_k}\$ on page 47. I think I follow the details of how he got \$S_{A_1}\$. But how does he get \$S_{A_1^2}\$ for instance? </p> http://mathoverflow.net/questions/36152/does-any-one-understand-the-details-of-m-kazarians-work-in-enumerative-geometry/36704#36704 Answer by Bob for Does any one understand the details of M Kazarian's work in enumerative geometry of \$\mathbb{C}\mathbb{P}^2\$ ? Bob 2010-08-25T23:31:15Z 2010-08-25T23:31:15Z <p>It's just a task in school math.: The Legendrean residual class R for A_1^2 is given by -u-3a_1 on page 44, and the recipe for substitution is noted on page 45: the answer is the coefficient of t^2 in the expansion of R.[M]. If your question means how he gets the residual classes, you have to learn about the contents, that would be more fruitful. </p>