320 citations · 844 across the 35 of their papers we have counts for
9 papers · 1 filter
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…
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…
Correlation functions of gauged linear -model
Gang Tian, Guangbo Xu
This is the second paper in a series following arXiv:1405.6352, on the construction of a mathematical theory of the gauged linear -model (GLSM). In this paper, assuming the exis…
Analysis of gauged Witten equation
Gang Tian, Guangbo Xu
The gauged Witten equation was essentially introduced by Witten in his formulation of gauged linear -model (GLSM). GLSM is a physics theory which explains the so-called Landau-G…