15 citations · 95 across the 24 of their papers we have counts for
11 papers · 1 filter
Gromov-Witten Generating Series of Elliptic Curves as Configuration Space Integrals
Jie Zhou
The generating series of Gromov-Witten invariants of elliptic curves can be expressed in terms of multi-variable elliptic functions by works of Bloch-Okounkov and Okounkov-Pandhari…
Twisted Sectors in Calabi-Yau Type Fermat Polynomial Singularities and Automorphic Forms
Dingxin Zhang, Jie Zhou
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 com…
A genus-one FJRW invariant via two methods
Jun Li, Wei-Ping Li, Yefeng Shen +1
We calculate a genus-one FJRW invariant of an LG pair via two different methods. In the first method, we apply the cosection localization technique t…
Higher Genus FJRW Invariants of a Fermat Cubic
Jun Li, Yefeng Shen, Jie Zhou
We reconstruct the all-genus Fan-Jarvis-Ruan-Witten invariants of a Fermat cubic Landau-Ginzburg space $(x_1^3+x_2^3+x_3^3: [\mathbb{C}^3/ \mathboldμ_3]\to \mathbb{C})$ from genus-…
Genus Two Quasi-Siegel Modular Forms and Gromov-Witten Theory of Toric Calabi-Yau Threefolds
Yongbin Ruan, Yingchun Zhang, Jie Zhou
We first develop theories of differential rings of quasi-Siegel modular and quasi-Siegel Jacobi forms for genus two. Then we apply them to the Eynard-Orantin topological recursion…
Open Gromov-Witten Theory of and Jacobi Forms
Bohan Fang, Yongbin Ruan, Yingchun Zhang +1
It was known through the efforts of many works that the generating functions in the closed Gromov-Witten theory of are meromorphic quasi-modular forms basing on t…
Genus one GW invariants of quintic threefolds via MSP localization
Huai-Liang Chang, Shuai Guo, Wei-Ping Li +1
The moduli stack of Mixed Spin P-fields (MSP) provides an effective algorithm to evaluate all genus Gromov-Witten invariants of quintic Calabi-Yau threefolds. This paper is to appl…
Mirror Symmetry for Plane Cubics Revisited
Jie Zhou
In this expository note we discuss some arithmetic aspects of the mirror symmetry for plane cubic curves. We also explain how the Picard-Fuchs equation can be used to reveal part o…
LG/CY Correspondence for Elliptic Orbifold Curves via Modularity
Yefeng Shen, Jie Zhou
We prove the Landau-Ginzburg/Calabi-Yau correspondence between the Gromov-Witten theory of each elliptic orbifold curve and its Fan-Jarvis-Ruan-Witten theory counterpart via modula…
Ramanujan Identities and Quasi-Modularity in Gromov-Witten Theory
Yefeng Shen, Jie Zhou
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…
Lectures on BCOV holomorphic anomaly equations
Atsushi Kanazawa, Jie Zhou
The present article surveys some mathematical aspects of the BCOV holomorphic anomaly equations introduced by Bershadsky, Cecotti, Ooguri and Vafa. It grew from a series of lecture…