320 citations · 844 across the 35 of their papers we have counts for
36 papers
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…
Counting pointlike instantons virtually without gluing
Gang Tian, Guangbo Xu
We use the first author's idea on "constructing virtual fundamental cycles without gluing ' to define the quantum correction term between the gauged linear sigma model and the nonl…
A wall-crossing formula and the invariance of GLSM correlation functions
Gang Tian, Guangbo Xu
In this paper we prove a wall-crossing formula, a crucial ingredient needed to prove that the correlation function of gauged linear sigma model is independent of the choice of pert…
Uniqueness of the Mean Field Equation and Rigidity of Hawking Mass
Yuguang Shi, Jiacheng Sun, Gang Tian +1
In this paper, we prove that the even solution of the mean field equation on must be axially symmetric when . In particular, zero is the only even s…
The symplectic approach of gauged linear -model
Gang Tian, Guangbo Xu
Witten's Gauged Linear -Model (GLSM) unifies the Gromov-Witten theory and the Landau-Ginzburg theory, and provides a global perspective on mirror symmetry. In this article, we s…
Virtual cycles of gauged Witten equation
Gang Tian, Guangbo Xu
We construct virtual cycles on moduli spaces of perturbed gauged Witten equation over a fixed smooth r -spin curve, under the framework of [TX15]. Together with the wall-crossing f…