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--- blog:2023-04-30 [2023/04/30 18:54] – [The tension] pzhou
+++ blog:2023-04-30 [2023/06/25 15:53] (current) – external edit 127.0.0.1
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 ====== 2023-04-30 ======
   * More on quiver gauge theory from toric CY3
+  * Editing the paper
 ===== quiver gauge theory from toric CY3 =====
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 ==== Remaining Questions ====
-What is dimer mutation?
+What is dimer mutation? Well, for a given alternativing Lagrangian, the local system on it only support some $(\C^*)^k$ torus open chart worth of objects among all the allowed guys.
+We are looking at the moduli space of rank $1$ sheaves on the toric stack $Y'$. Basically, we can change the parameters of the coefficients. What's the big deal then?
+What is your starting point? For TWZ or STWZ or STW, their starting point is a singular 2-dimensional skeleton, obtained by gluing disks to a surface. The moduli space of microlocal rank 1 sheaves on it, forms a cluster variety.