APPLICATIONS OF THE LEFSCHETZ FIXED POINT FORMULA TO CLOSED SURFACES WITH FINITE GROUP ACTIONS
Considering a closed orientable surface as a configuration space in robotics or a real moment-angle complex in toric topology, acts on them. Restricting also to four typical proper subgroups, there are five orbit spaces. Applying the Lefschetz fixed point formula, we study their topological properties.
orbifold, Lefschetz fixedpoint formula, representation of the dihedral group.