https://pzhou.org/ 2026-09-16T10:20:25+00:00 https://pzhou.org/ https://pzhou.org/lib/tpl/dokuwiki/images/favicon.ico text/html 2026-09-04T23:52:57+00:00 Anonymous (anonymous@undisclosed.example.com) https://pzhou.org/klrw-fukaya/sl2-setup?rev=1788565977&do=diff The rank-one setup We begin with \(\mathfrak g=\mathfrak{sl}_2\) and fix \(d\geq 0\). On the algebraic side, we consider the \(\hbar\)-deformed nilHecke algebra \(NH_d^\hbar\) over \(\mathbb Z[\hbar]\). It is generated by dots \(x_1,\ldots,x_d\) and elementary crossings \(s_1,\ldots,s_{d-1}\), subject to \[ \begin{gathered} x_a x_b=x_b x_a,\qquad s_a^2=0,\qquad s_a s_b=s_b s_a\quad\text{if }|a-b|>1,\cr s_a s_{a+1}s_a=s_{a+1}s_a s_{a+1},\qquad s_a x_b=x_b s_a\quad\text{if }b\neq a,a+1,\cr x_a s_… text/html 2026-09-04T23:54:09+00:00 Anonymous (anonymous@undisclosed.example.com) https://pzhou.org/klrw-fukaya/start?rev=1788566049&do=diff Fukaya Category of Zastava Space and Quantum Group Here we organize some notes. * The rank-one setup: We discuss $sl_2$ space, nil-Hecke algebra.