activity
20122026
most citedA mirror theorem for genus two Gromov-Witten invariants of quintic threefolds

30 citations · 130 across the 14 of their papers we have counts for

collaborators

14 papers

math.AG2026

All-Genus Large-Degree Asymptotics for Gromov--Witten Invariants of the Projective Plane

Shuai Guo, Gang Tian, Tianhang Xu

This is the first part of a series of papers on the large-degree asymptotics of Gromov--Witten invariants. In this paper, we prove complete large-degree asymptotic expansions, at e…

math-ph2026

Generalized Kontsevich model, topological recursion, and -spin theory

Shuai Guo, Ce Ji, Chenglang Yang +1

By employing polynomial-reduced KP integrability, combined with the string equation, this work establishes explicit relationships between the generalized Kontsevich model, the topo…

math.AG2020★ 19 cited

Holomorphic anomaly equation for and the Nekrasov-Shatashvili limit of local

Pierrick Bousseau, Honglu Fan, Shuai Guo +1

We prove a higher genus version of the genus local-relative correspondence of van Garrel-Graber-Ruddat: for a pair with a smooth projective variety and a nef sm…

math-ph2019

Quantum curve and bilinear Fermionic form for the orbifold Gromov-Witten theory of

Chongyao Chen, Shuai Guo

We construct the quantum curve for the Baker-Akhiezer function of the orbifold Gromov-Witten theory of the weighted projective line . Furthermore, we deduce the expli…

math.AG2018★ 19 cited

Structure of Higher Genus Gromov-Witten Invariants of Quintic 3-folds

Shuai Guo, Felix Janda, Yongbin Ruan

There is a set of remarkable physical predictions for the structure of BCOV's higher genus B-model of mirror quintic 3-folds which can be viewed as conjectures for the Gromov-Witte…

math.AG2018★ 11 cited

BCOV's Feynman rule of quintic -folds

Huai-Liang Chang, Shuai Guo, Jun Li

We prove the BCOV Feynman rule by identifying the Feynman graph sum to the graph sum of an R-matrix action extracted from the NMSP theory. As direct consequences, (i) we obtain the…

math.AG2018★ 11 cited

Polynomial structure of Gromov-Witten potential of quintic -folds via NMSP

Huai-Liang Chang, Shuai Guo, Jun Li

We use stable graphs to package the relations. Our tools are the matrix of the -twisted equivariant GW theory, and th…

math.AG2018★ 7 cited

The theory of N-Mixed-Spin-P fields

Huai-Liang Chang, Shuai Guo, Jun Li +1

This is the first part of the project toward proving the BCOV's Feymann graph sum formula of all genera Gromov-Witten invariants of quintic Calabi-Yau threefolds. In this paper, we…

math.AG2017★ 5 cited

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…

math.AG2017★ 30 cited

A mirror theorem for genus two Gromov-Witten invariants of quintic threefolds

Shuai Guo, Felix Janda, Yongbin Ruan

We derive a closed formula for the generating function of genus two Gromov-Witten invariants of quintic 3-folds and verify the corresponding mirror symmetry conjecture of Bershadsk…

math.AG2017★ 10 cited

The Genus-One Global Mirror Theorem for the Quintic Threefold

Shuai Guo, Dustin Ross

We prove the genus-one restriction of the all-genus Landau-Ginzburg/Calabi-Yau conjecture of Chiodo and Ruan, stated in terms of the geometric quantization of an explicit symplecto…

math.AG2016★ 12 cited

Genus-One Mirror Symmetry in the Landau-Ginzburg Model

Shuai Guo, Dustin Ross

We prove an explicit formula for the genus-one Fan-Jarvis-Ruan-Witten invariants associated to the quintic threefold, verifying the genus-one mirror conjecture of Huang, Klemm, and…

math-ph2016★ 6 cited

Virasoro constraints and polynomial recursion for the linear Hodge integrals

Shuai Guo, Gehao Wang

The Hodge tau-function is a generating function for the linear Hodge integrals. It is also a tau-function of the KP hierarchy. In this paper, we first present the Virasoro constrai…

math.AG2012

Gopakumar-Vafa BPS invariants, Hilbert schemes and quasimodular forms. I

Shuai Guo, Jian Zhou

We prove a closed formula for leading Gopakumar- Vafa BPS invariants of local Calabi-Yau geometries given by the canonical line bundles of toric Fano surfaces. It shares some simil…