====== 2023-02-08 ======

  * Localization for KRLW algebra over a downstairs skeleton. 
  * Realizing the skeleton of hypertoric quotient. 
  * Comparison of Honda-Tian-Yuan and Mak-Smith. 

===== localization =====

Let's consider baby things first. Can we glue up $cNH_2$ from $NH_2$ and $NH_1 \boxtimes NH_1$ over $(S^1 \times S^1) / S_2$. The latter space is a stratified manifold. 

(Consider another thing. How about finite Hecke algebra. The computation is in the full Hilb. That's why there is some sensitivity of the perturbation of Lagrangians. 





===== Moduli space of disks =====
Honda-Tian-Yuan and Ekholm-Shende, they considered path groupoid on a real two-dimensional space. The true upstairs skeleton. 

===== Generation result =====
  * Auroux https://arxiv.org/pdf/1001.4323.pdf
  * Lekili-Dyckhoff-Jasso https://lekili.duckdns.org/research/higheraus.pdf