Matching Tag: resolved-conifold
Let X 1 X_1 X 1 O P 1 ( − 1 ) ⊕ O P 1 ( − 1 ) \mathcal{O}_{\mathbb{P}^1}(-1)\oplus\mathcal{O}_{\mathbb{P}^1}(-1) O P 1 ( − 1 ) ⊕ O P 1 ( − 1 )
Anti-diagonal equivariant GW correspondence. The identity
Let X = Tot P 1 ( O ( − 1 ) ⊕ O ( − 1 ) ⊕ O ) X=\operatorname{Tot}_{\mathbb P^1}(\mathcal O(-1)\oplus\mathcal O(-1)\oplus\mathcal O) X = Tot P 1 ( O ( − 1 ) ⊕ O ( − 1 ) ⊕ O ) Z X ( y , q , Q ) = ∑ n , d P n , d [ P 1 ] ( O , y ) q n Q d \mathcal Z_X(y,q,Q)=\sum_{n,d}P_{n,d[\mathbb P^1]}(\mathcal O,y)q^nQ^d Z X ( y , q , Q ) = ∑ n , d P n , d [ P 1 ] ( O , y ) q n Q d
Let Ψ 0 , 1 ( a ) ( t ; x ) \Psi^{(a)}_{0,1}(t;x) Ψ 0 , 1 ( a ) ( t ; x ) Q = − e − t Q=-e^{-t} Q = − e − t e k , m ( a ) e^{(a)}_{k,m} e k , m ( a )
