https://pzhou.org/ 2026-06-20T04:02:11+00:00 https://pzhou.org/ https://pzhou.org/lib/tpl/dokuwiki/images/favicon.ico text/html 2023-06-25T15:53:22+00:00 Anonymous (anonymous@undisclosed.example.com) https://pzhou.org/projects/categorical-integrate-out?rev=1687708402&do=diff Categorical "integrate out" Suppose you had some infinite dimensional path integral, and you want to get some finite dimensional approximation. Physicist told you to get some effective theory with a cut-off, but with interaction coefficients depending on the cut-off scale. text/html 2023-06-25T15:53:22+00:00 Anonymous (anonymous@undisclosed.example.com) https://pzhou.org/projects/hypertoric?rev=1687708402&do=diff Hypertoric, upstairs and downstairs $\gdef\CS{ {\C^*}}$ $\gdef\v{\vee}$ $\gdef\ycal{\mathcal{Y}}$ $\gdef\zcal{\mathcal{Z}}$ Setup Consider a SES of lattices $$ L \to E \to N $$, where $E = \Z^N$. And consider its dual lattices $$ N^\v \to E^\v \to L^\v $$ If $A$ is a lattice, we let $A_\CS = A \otimes \CS$ to be the corresponding torus where $A$ is the cocharacter lattice. text/html 2023-06-25T15:53:22+00:00 Anonymous (anonymous@undisclosed.example.com) https://pzhou.org/projects/stanley-reisner-theory-in-terms-of-fltz?rev=1687708402&do=diff Stanley-Reisner theory in terms of FLTZ Jay Yang, Washington University in St. Louis ask him about it text/html 2023-06-25T15:53:22+00:00 Anonymous (anonymous@undisclosed.example.com) https://pzhou.org/projects/start?rev=1687708402&do=diff Projects This serves as a reminder that I need to do work, rather than just sitting around. * HMS of $A_n$-type cluster variety (w/ Linhui and Zhe) * HMS for toric complete intersections (w/ Nicolò and Hayato) * Sheaf Kernel (w/ Jesse and Danny) text/html 2023-06-25T15:53:22+00:00 Anonymous (anonymous@undisclosed.example.com) https://pzhou.org/projects/torus-action-on-fukaya?rev=1687708402&do=diff Torus acting on a Toric Variety Let $X$ be an complex $n$ dimension smooth toric variety, and let $T = U(1)^n$ the compact torus acting on $X$. Assume $X$ is equipped with a $T$-invariant symplectic form $\omega$, and $\Delta_X$ is the moment polytope of $X$. text/html 2023-06-25T15:53:22+00:00 Anonymous (anonymous@undisclosed.example.com) https://pzhou.org/projects/vgit-on-toric-lg?rev=1687708402&do=diff VGIT on toric LG No, I don't want to consider complete intersection, I just want to consider A-model where I compactify $(\C^*)^n$ somehow. For example, $X_A = (\C^*)^3 \cup D_{1,1,1}$, and $W_A = x+y+z$. And the mirror is $X_B = \C^3$, with $W_B = xyz$.