Matching Tag: categorical-dt-theory
Let P n ( X , β ) ε P_n(X,\beta)_{\varepsilon} P n ( X , β ) ε P n ( X , β ) − ε P_n(X,\beta)_{-\varepsilon} P n ( X , β ) − ε t 0 = 0 t_0=0 t 0 = 0 0 < ε ≪ 1 0<\varepsilon\ll1 0 < ε ≪ 1
Fix σ = i H \sigma=iH σ = i H H H H v = ( β , n ) ∈ N ≤ 1 ( S ) v=(\beta,n)\in N_{\leq 1}(S) v = ( β , n ) ∈ N ≤ 1 ( S ) t 0 ∈ W ∩ Q > 0 t_0\in W\cap\mathbb{Q}_{>0} t 0 ∈ W ∩ Q > 0 t ± = t 0 ± ε t_{\pm}=t_0\pm\varepsilon t ± = t 0 ± ε
Let I n ( X , β ) I_n(X,\beta) I n ( X , β ) P n ( X , β ) P_n(X,\beta) P n ( X , β ) D T C ∗ ( − ) \mathcal{DT}^{\mathbb{C}^{\ast}}(-) D T C ∗ ( − ) C ∗ \mathbb{C}^{\ast} C ∗
Let M \mathfrak{M} M N = t 0 ( Ω M [ − 1 ] ) \mathcal{N}=t_0(\Omega_{\mathfrak{M}}[-1]) N = t 0 ( Ω M [ − 1 ]) N s t \mathcal{N}_{\mathrm{st}} N st
Fix ( β , n ) (\beta,n) ( β , n ) t 1 > t 2 > ⋯ > t N > 0 t_1>t_2>\cdots>t_N>0 t 1 > t 2 > ⋯ > t N > 0 I n ( X , β ) I_n(X,\beta) I n ( X , β ) P n ( X , β ) P_n(X,\beta) P n ( X , β )
