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

Abstract

We construct the quantum curve for the Baker-Akhiezer function of the orbifold 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 from the Baker-Akhiezer function.

36 pages

References in corpus (4)

• Two Dimensional Kodaira-Spencer Theory and Three Dimensional Chern-Simons Gravity
• Equivariant Gromov-Witten theory of one dimensional stacks
• Intersection numbers on Deligne-Mumford moduli spaces and quantum Airy curve
• Quantum Mirror Curves for ${\mathbb{C}}^3$ and the Resolved Confiold