29 citations · 119 across the 19 of their papers we have counts for
21 papers
Conifold factorization in topological recursion and Gromov--Witten theory
Juping Chen, Linji Chen, Bohan Fang +1
We prove a factorization theorem for ordinary topological recursion near a regular nodal degeneration of a spectral curve, allowing logarithmic spectral coordinates. The partition…
All-Genus Open Mirror Symmetry for Toric Calabi-Yau 3-Orbifolds with Multiple Branes
Bohan Fang, Chiu-Chu Melissa Liu, Song Yu +1
We prove the all-genus open mirror symmetry of a toric Calabi-Yau 3-orbifold where the boundary condition is given by multiple Aganagic-Vafa branes. Each brane could be either inne…
Conifold Gap Theorem for Topological Recursion
Bohan Fang, Juping Chen, Linji Chen +1
We prove a conifold gap theorem for the topological recursion of toric mirror curves: for every local analytic family acquiring a generic one-node degeneration and every fixed genu…
Multi-Component Open/Relative/Local Correspondence
Song Yu, Ke Zhang, Zhengyu Zong
For a toric Calabi-Yau 3-orbifold relative to s Aganagic-Vafa outer branes, we prove a correspondence among the genus-zero open Gromov-Witten invariants with maximal winding at eac…
Remodeling Conjecture with Descendants
Bohan Fang, Chiu-Chu Melissa Liu, Song Yu +1
We formulate and prove the Remodeling Conjecture with descendants, which is a version of all-genus equivariant descendant mirror symmetry for semi-projective toric Calabi-Yau 3-orb…
Open WDVV Equations and Frobenius Structures for Toric Calabi-Yau 3-Folds
Song Yu, Zhengyu Zong
Let be a toric Calabi-Yau 3-fold and let be an Aganagic-Vafa outer brane. We prove two versions of open WDVV equations for the open Gromov-Witten theory of …
Twisted Equivariant Gromov-Witten Theory of the Classifying Space of a Finite Group
Zhuoming Lan, Zhengyu Zong
For any finite group , the equivariant Gromov-Witten invariants of can be viewed as a certain twisted Gromov-Witten invariants of the classifying stack $\math…
Torus knots in Lens spaces, open Gromov-Witten invariants, and topological recursion
Jinghao Yu, Zhengyu Zong
Starting from a torus knot in the lens space , we construct a Lagrangian sub-manifold in $\mathcal{X}=\big(\mathcal{O}_{\mathbb{P}^1}(-1)\o…
Graph sums in the Remodeling Conjecture
Bohan Fang, Zhengyu Zong
The BKMP Remodeling Conjecture \cite{Ma,BKMP09,BKMP10} predicts all genus open-closed Gromov-Witten invariants for a toric Calabi-Yau -orbifold by Eynard-Orantin's topological r…
Gromov--Witten theory of
Zijun Zhou, Zhengyu Zong
We compute the relative orbifold Gromov-Witten invariants of , with respect to vertical fibers. Via a vanishing property of the…
The SYZ mirror symmetry and the BKMP remodeling conjecture
Bohan Fang, Chiu-Chu Melissa Liu, Zhengyu Zong
The Remodeling Conjecture proposed by Bouchard-Klemm-Mariño-Pasquetti (BKMP) relates the A-model open and closed topological string amplitudes (open and closed Gromov-Witten invari…
Topological recursion for the conifold transition of a torus knot
Bohan Fang, Zhengyu Zong
In this paper we prove a mirror symmetry conjecture based on the work of Brini-Eynard-Mariño \cite{BEM} and Diaconescu-Shende-Vafa \cite{DSV}. This conjecture relates open Gromov-W…
Equivariant Gromov-Witten Theory of GKM Orbifolds
Zhengyu Zong
In this paper, we study the all genus Gromov-Witten theory for any GKM orbifold . We generalize the Givental formula which is studied in the smooth case in \cite{Giv2} \cite{Giv…
On the Remodeling Conjecture for Toric Calabi-Yau 3-Orbifolds
Bohan Fang, Chiu-Chu Melissa Liu, Zhengyu Zong
The Remodeling Conjecture proposed by Bouchard-Klemm-Mariño-Pasquetti (BKMP) [arXiv:0709.1453, arXiv:0807.0597] relates the A-model open and closed topological string amplitudes (t…
The Eynard-Orantin recursion and equivariant mirror symmetry for the projective line
Bohan Fang, Chiu-Chu Melissa Liu, Zhengyu Zong
We study the equivariantly perturbed mirror Landau-Ginzburg model of the projective line. We show that the Eynard-Orantin recursion on this model encodes all genus all descendants…
Cyclic Hodge Integrals and Loop Schur Functions
Dustin Ross, Zhengyu Zong
We conjecture an evaluation of three-partition cyclic Hodge integrals in terms of loop Schur functions. Our formula implies the orbifold Gromov-Witten/Donaldson-Thomas corresponden…
All Genus Open-Closed Mirror Symmetry for Affine Toric Calabi-Yau 3-Orbifolds
Bohan Fang, Chiu-Chu Melissa Liu, Zhengyu Zong
The Remodeling Conjecture proposed by Bouchard-Klemm-Marino-Pasquetti [arXiv:0709.1453, arXiv:0807.0597] relates all genus open and closed Gromov-Witten invariants of a semi-projec…
Equivariant Gromov-Witten Theory of Affine Smooth Toric Deligne-Mumford Stacks
Bohan Fang, Chiu-Chu Melissa Liu, Zhengyu Zong
For any finite abelian group G, the equivariant Gromov-Witten invariants of C^r/G can be viewed as a certain kind of abelian Hurwitz-Hodge integrals. In this note, we use Tseng's o…
The Gerby Gopakumar-Mariño-Vafa Formula
Dustin Ross, Zhengyu Zong
We prove a formula for certain cubic -Hodge integrals in terms of loop Schur functions. We use this identity to prove the Gromov-Witten/Donaldson-Thomas correspondence for lo…
A Formula of the One-leg Orbifold Gromov-Witten Vertex and Gromov-Witten Invariants of the Local $\cB\bZ_m$ Gerbe
Zhengyu Zong
We give a formula of the framed one-leg orbifold Gromov-Witten vertex where the leg is gerby with isotropy group $\bZ_m$. Then we use this formula to compute the Gromov-Witten inva…
Generalized Mariño-Vafa Formula and Local Gromov-Witten Theory of Orbi-curves
Zhengyu Zong
We prove a generalized Mariño-Vafa formula for Hodge integrals over $\Mbar_{g, γ-μ}(\cB G)$ with an arbitrary finite abelian group. Then we use this formula to study the local…