Title:Quantum group action on critical cohomology of quasimap moduli
Abstract: We show that certain moduli spaces of quasimaps to Nakajima varieties may be described explicitly as critical loci, therefore we may define and study their critical cohomology. We will report on progress on describing the latter as a module over a quantum group, and discuss the relation to quantized Coulomb branches. This is joint work in progress with Tommaso Botta.