GKM theory for p-compact groups

This work studies the flag varieties of p-compact groups, principally through torus-equivariant cohomology, extending methods and tools of classical Schubert calculus and moment graph theory from the setting of real reflection groups to the broader context of complex reflection groups. In particular we give, for the infinite family of p  -compact flag varieties corresponding to the complex reflection groups G(r,1,n)G(r,1,n), a generalized GKM characterization (following Goresky–Kottwitz–MacPherson [8]) of the torus-equivariant cohomology, building an explicit additive basis and showing its relationship with the polynomial or Borel presentation via the localization map.