Takahashi's higher-genus BPS invariance conjecture for (P2,E)(\mathbb P^2,E)(P2,E)
For every d∈Z>0d\in\mathbb Z_{>0}d∈Z>0 and every positive divisor kkk of ddd, let Ωd,kP2/E(ℏ)∈Q[ [ℏ] ]\Omega_{d,k}^{\mathbb P^2/E}(\hbar)\in\mathbb Q[\![\hbar]\!]Ωd,kP2/E(ℏ)∈Q[[ℏ]] be the higher-genus relative BPS invariant…