On the remodeling conjecture for toric Calabi-Yau 3-orbifolds
B Fang, CC Liu, Z Zong - Journal of the American Mathematical Society, 2020 - ams.org
The Remodeling Conjecture proposed by Bouchard-Klemm-Mariño-Pasquetti (BKMP)
relates the A-model open and closed topological string amplitudes (the all genus open and …
relates the A-model open and closed topological string amplitudes (the all genus open and …
Elliptic Loci of SU(3) Vacua
The space of vacua of many four-dimensional, N= 2 N= 2 supersymmetric gauge theories
can famously be identified with a family of complex curves. For gauge group SU (2), this …
can famously be identified with a family of complex curves. For gauge group SU (2), this …
Ramanujan identities and quasi-modularity in Gromov-Witten theory
We prove that the ancestor Gromov-Witten correlation functions of one-dimensional compact
Calabi-Yau orbifolds are quasi-modular forms. This includes the pillowcase orbifold which …
Calabi-Yau orbifolds are quasi-modular forms. This includes the pillowcase orbifold which …
Twisted Sectors in Calabi-Yau Type Fermat Polynomial Singularities and Automorphic Forms
D Zhang, J Zhou - arXiv preprint arXiv:2112.07182, 2021 - arxiv.org
We study one-parameter deformations of Calabi-Yau type Fermat polynomial singularities
along degree-one directions. We show that twisted sectors in the vanishing cohomology are …
along degree-one directions. We show that twisted sectors in the vanishing cohomology are …
GKZ hypergeometric series for the Hesse pencil, chain integrals and orbifold singularities
J Zhou - SIGMA. Symmetry, Integrability and Geometry: Methods …, 2017 - emis.de
The GKZ system for the Hesse pencil of elliptic curves has more solutions than the period
integrals. In this work we give different realizations and interpretations of the extra solution …
integrals. In this work we give different realizations and interpretations of the extra solution …
[PDF][PDF] Global mirror curve and its implication
B FANG - mirror, 2019 - maths.anu.edu.au
The remodeling conjecture recasts all genus Gromov-Witten theory of a toric Calabi-Yau 3-
fold in terms of complex geometry of its mirror curve. We illustrate how to construct a family of …
fold in terms of complex geometry of its mirror curve. We illustrate how to construct a family of …
Polynomial structure of topological string partition functions
J Zhou - Calabi-Yau Varieties: Arithmetic, Geometry and …, 2015 - Springer
We review the polynomial structure of the topological string partition functions as solutions to
the holomorphic anomaly equations. We also explain the connection between the ring of …
the holomorphic anomaly equations. We also explain the connection between the ring of …
Modularity of open-closed GW invariants of
Y Zhang - arXiv preprint arXiv:1811.10743, 2018 - arxiv.org
Continuing our work in\cite {1805.04894}, this article is devoted to proving that open-closed
Gromov-Witten invariants of $ K_ {\mathbb {P}^ 2/\mu_3} $ are quasi-meromorphic modular …
Gromov-Witten invariants of $ K_ {\mathbb {P}^ 2/\mu_3} $ are quasi-meromorphic modular …
Eynard-Orantin B-Model and Its Application in Mirror Symmetry
B Fang - B-Model Gromov-Witten Theory, 2018 - Springer
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