Quantum \(K\)-theory of toric varieties, level structures, and 3D mirror symmetry (Q2099105)

The authors introduce a new version of \(3d\) mirror symmetry for the toric quotient stack \([\mathbb{C}^{n}/K]\) where \(K=(\mathbb{C}^{*})^{k}.\) Moreover, they introduce \(K\)-theoretic \(I\)-function which restricts to the \(I\)-function for a particular toric variety under certain conditions. Finally, the authors prove that the \(I\)-functions of a mirror pair coincide, under the mirror map, which switches Kahler and equivariant parameters and exchanges \(q\) to \(q^{-1}\).