Stable gauged maps
  We give an introduction to moduli stacks of gauged maps satisfying a stability conditition introduced by Mundet and Schmitt, and the associated integrals giving rise to gauged Gromov-Witten invariants. We survey various applications to cohomological and K-theoretic Gromov-Witten invariants. 
E. Gonz\'alez, P. Solis, and C. Woodward
math.AG