Gauged Linear Sigma Model in Geometric Phases. I
Mathematical Physics
2024-08-28 v2 Algebraic Geometry
math.MP
Symplectic Geometry
Abstract
We construct a cohomological field theory for a gauged linear sigma model space in geometric phase, using the method of gauge theory and differential geometry. The cohomological field theory is expected to match the Gromov-Witten theory of the classical vacuum up to a change of variable, and is expected to match various other algebraic geometric constructions.
Cite
@article{arxiv.1809.00424,
title = {Gauged Linear Sigma Model in Geometric Phases. I},
author = {Gang Tian and Guangbo Xu},
journal= {arXiv preprint arXiv:1809.00424},
year = {2024}
}
Comments
Split from the previous version as requested by the journal editor. In the companion 2407.14545 we provide the detailed virtual cycle construction and prove its properties