Realizing transfer maps for ramified coverings

Abstract

In this paper we study transfer maps for a general class of ramified covering spaces.This class includes finite covering spaces, as well as more general orbit maps Y/H -* Y/G, where H is a subgroup of a finite group G, and where Y is any G-space.This class also includes classical branched coverings of manifolds.The goal of this paper is to identify and to analyze the obstructions to realizing such a homology transfer homomorphism by a stable map between spaces.