Holomorphic anomaly equation for

P Bousseau, H Fan, S Guo, L Wu - Forum of Mathematics, Pi, 2021 - cambridge.org
Holomorphic anomaly equation for (P2 , ) and the Nekrasov-Shatashvili limit of local P Page 1
Forum of Mathematics, Pi (2021), Vol. 9:e3 1–57 doi:10.1017/fmp.2021.3 RESEARCH ARTICLE …

Curve counting on the Enriques surface and the Klemm-Mari\~{n} o formula

G Oberdieck - arXiv preprint arXiv:2305.11115, 2023 - arxiv.org
We determine the Gromov-Witten invariants of the local Enriques surfaces for all genera and
curve classes and prove the Klemm-Mari\~{n} o formula. In particular, we show that the …

Holomorphic anomaly equations for the Hilbert scheme of points of a K3 surface

G Oberdieck - Geometry & Topology, 2024 - msp.org
We conjecture that the generating series of Gromov–Witten invariants of the Hilbert schemes
of n points on a K3 surface are quasi-Jacobi forms and satisfy a holomorphic anomaly …

All-genus WDVV recursion, quivers, and BPS invariants

P Bousseau, L Wu - arXiv preprint arXiv:2303.00503, 2023 - arxiv.org
Let $ X $ be a smooth projective surface and $ D $ a smooth rational ample divisor in $ X $.
We prove an all-genus generalization of the genus $0 $ WDVV equation for primary Gromov …

Quasi-modularity and holomorphic anomaly equation for the twisted Gromov-Witten theory: over

X Wang - arXiv preprint arXiv:1906.11643, 2019 - arxiv.org
arXiv:1906.11643v1 [math.AG] 26 Jun 2019 Page 1 arXiv:1906.11643v1 [math.AG] 26 Jun
2019 QUASI-MODULARITY AND HOLOMORPHIC ANOMALY EQUATION FOR THE TWISTED …

Holomorphic anomaly equation for (ℙ², K) and the Nekrasov-Shatashvili limit of local ℙ².

P Bousseau, H Fan, S Guo, L Wu - Forum of Mathematics, Pi, 2021 - search.ebscohost.com
We prove a higher genus version of the genus 0 local-relative correspondence of van Garrel-
Graber-Ruddat: for (X, D) a pair with X a smooth projective variety and D a nef smooth …

Genus Two Siegel Quasi-Modular Forms and Gromov–Witten Theory of Toric Calabi–Yau Threefolds

Y Ruan, Y Zhang, J Zhou - Communications in Mathematical Physics, 2023 - Springer
We first formulate theories of differential rings of Siegel quasi-modular and Siegel quasi-
Jacobi forms for genus two. Then we apply them to Eynard–Orantin topological recursion of …

On Higher Genus Gromov-Witten Correspondences for Log Calabi-Yau Surfaces With Smooth Anticanonical Divisor

B Zhou - 2024 - search.proquest.com
On Higher Genus Gromov-Witten Correspondences for Log Calabi-Yau Surfaces with Smooth
Anticanonical Divisor Page 1 NORTHWESTERN UNIVERSITY On Higher Genus Gromov-Witten …

Finite Generation and Holomorphic Anomaly Equation for Equivariant Gromov—Witten Invariants of K ℙ 1× ℙ 1

X Wang - Frontiers of Mathematics, 2023 - Springer
Finite Generation and Holomorphic Anomaly Equation for Equivariant Gromov–Witten Invariants
of KP Page 1 Front. Math. https://doi.org/10.1007/s11464-021-0225-1 Finite Generation and …

[PDF][PDF] Equivariant SYZ mirror symmetry

SIUC LAU - The proceedings of the 8th ICCM, 2019 - math.bu.edu
In this talk, I explain a Morse model for the equivariant Lagrangian Floer theory, and apply it
to SYZ fibers to construct an equivariant SYZ mirror. This method computes equivariant disc …