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--- blog:2023-02-26 [2023/02/27 08:55] – pzhou
+++ blog:2023-02-26 [2023/06/25 15:53] (current) – external edit 127.0.0.1
@@ Line 50: / Line 50: @@
 Consider the example of $(1,1,-1,-1)$, say with variable $x,y,z,w$. Window size is 2. Allowed factorization $(x, ..), (y, ...), \cdots$ 4 of them, and $(xz, yw), (xw, yz)$. two of them. All six makes geometric sense on the A-side.
-No, we should not use window so early. We are talking about GIT quotient. We should talk about polarization, unstable orbits. So what are those? Is polarization
+No, we should not use window so early. We are talking about GIT quotient. We should talk about polarization, unstable orbits. So what are those? Is polarization still about a line bundle?
+===== equivariant MF =====
+Following Segal.
+What's hom between MF? It is the dg hom between curved 2-periodic chain complexes, the beautiful thing is that, the curvature cancels out, and the result is an ordinary 2-periodic chain complex.
+Then, you take global section to get usual hom. Of course, sheaf hom is better.
+But, how to deal with removing unstable loci? What's the approach of Segal? Well, he took GIT quotient first, without worrying about $W$. Then, the usual window works. Lemma 3.5 there.