The input data of a gauged linear sigma model (GLSM)
consists of a GIT quotient of a complex vector space V by the linear
action of a reductive algebraic group G (the gauge group) and a
G-invariant polynomial function on V (the superpotential) which is
quasi-homogeneous with respect to a C^*-action (R symmetries) on V.
The Higgs-Coulomb correspondence relates (1) GLSM invariants which are
virtual counts of Landau-Ginzburg quasimaps (Higgs branch), and (2)
Mellin-Barnes type integrals on the Lie algebra of G (Coulomb branch).
In this talk, I will describe the correspondence when G is an
algebraic torus, and explain how to use the correspondence to study
dependence of GLSM invariants on the stability condition. This is
based on joint work with Konstantin Aleshkin.
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