Separated Quotients

Yurii Neretin
(Universität Wien)

Abstract: Consider a group acting an a compact space M. Consider a space of orbits of general position and the closure of this set in a space of all subsets (submanifolds) in M.

We discuss several nonequivalent variants of the definition (Hausdorff quotient, Chow quotient, Hilbert scheme quotient) and also some cases then this quotient admits explicit description.