Peng Zhou

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blog:2023-07-30 [2023/07/31 08:13] – pzhoublog:2023-07-30 [2023/07/31 08:24] (current) – [Coulomb branches] pzhou
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 Well, here is the trouble, remember the case for $T^*\P^2$? Or the simpler one $(1)-(1)$? If you go by the rule of $x_1^+x_1^- = y_1-y_2, \quad x_2^+x_2^-=y_1-y_2$, then you lose. You know what this is suppose to be. You need more generators and relations. You need the $r_{1,1}$ and $r_{-1,-1}$. Then you are in good shape. In general, you need to take a good size of blobs of weights, and do those generators, and get those relations.  Well, here is the trouble, remember the case for $T^*\P^2$? Or the simpler one $(1)-(1)$? If you go by the rule of $x_1^+x_1^- = y_1-y_2, \quad x_2^+x_2^-=y_1-y_2$, then you lose. You know what this is suppose to be. You need more generators and relations. You need the $r_{1,1}$ and $r_{-1,-1}$. Then you are in good shape. In general, you need to take a good size of blobs of weights, and do those generators, and get those relations. 
  
-Then, when you do blow-up, you can do the simple things. +Then, when you do the blow-up, you can do the simple things. Just pick some variables and blow them up. 
  
 ===== Steve Jobs ===== ===== Steve Jobs =====
blog/2023-07-30.1690791224.txt.gz · Last modified: 2023/07/31 08:13 by pzhou