Quantum curve and bilinear Fermionic form for the orbifold Gromov-Witten theory of ℙ[r]

2019/12/02 by Chongyao Chen, Shuai Guo, Chen, Chongyao +1
Mathematics · #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #FOS: Physical sciences #Geometry and complex manifolds #Mathematical Physics (math-ph)

paper · pdf · doi:10.48550/arxiv.1912.00558

openalex publication_date 2019/12/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Intersection numbers on Deligne-Mumford moduli spaces and quantum Airy curve
• Equivariant Gromov-Witten theory of one dimensional stacks
• Quantum Mirror Curves for \mathbb C³ and the Resolved Confiold
• Two Dimensional Kodaira-Spencer Theory and Three Dimensional Chern-Simons Gravity
• Infinite wedge and random partitions

Related

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