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--- projects:torus-action-on-fukaya [2022/10/28 07:48] – pzhou
+++ projects:torus-action-on-fukaya [2023/06/25 15:53] (current) – external edit 127.0.0.1
@@ Line 43: / Line 43: @@
 Somehow, $\Omega_J = dx \wedge dy / (xy+1) = e^{-u} dx dy $. Can we talk about real and imaginary part of it? But we don't want these.
-I want to have $I$ complex coordinate, and I want
+I want to have $I$ complex coordinate. Well, the space will not be affine.
+I probably should consider additive $T^*\P^1$ first, Well, $T^*\P^1$ is the resolution of $A_1$ singularity, where we consider $\C^2/\Z_2$. We can keep going, consider $\C^2/\Z_n$, and take certain colimit, by open inclusion.
+This is an infinite Weinstein handle attachment process. Or, do we attach on both ends? We could. Then, there is a $\Z$ translation action on the limit (but not on the finite truncation).