Abstract

The input data of a gauged linear sigma model (GLSM) consist of a GlT quotient of a complexvector space V by the linear action of a reductive algebraic group G (the gauge group) and a Ginvariant polynomial function on V (the superpotential) which is quasi-homogeneous with respect toa C^*-action (R symmetries) on V. GLSM invariants are virtual counts of curves in the critical locusof the superpotential. In this talk, l will describe GlT wall-crossing of genus-zero cohomological andK-theoretic GLSM invariants when the gauge group G is abelian, based on joint work withKonstantin Aleshkin.