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We construct the quantum curve for the Baker-Akhiezer function of theorbifold Gromov-Witten theory of the weighted projective line $\mathbb P[r]$.Furthermore, we deduce the explicit bilinear Fermionic formula for the(stationary) Gromov-Witten potential via the lifting operator constructed fromthe Baker-Akhiezer function.

Quantum curve and bilinear Fermionic form for the orbifold Gromov-Witten theory of $\mathbb{P}[r]$