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

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.

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

• Auroux https://arxiv.org/pdf/1001.4323.pdf
• Lekili-Dyckhoff-Jasso https://lekili.duckdns.org/research/higheraus.pdf