Cutting and pasting of manifolds into \(G\)-manifolds
Let \(G\) be a finite Abelian group of odd order. If \(M\) is a manifold with \(G\)-action, one has submanifolds \(M^H\) of \(M\) given by the fixed sets of subgroups \(H\) of \(G\). Being given \(M\) and a collection of submanifolds \(M^H\) of \(M\), the author shows that \(M\) with its submanifolds is cut and paste equivalent to a \(G\)-action provided the Euler characteristics \(\chi(M^H)\) satisfy the congruences which hold for fixed sets of an action.
scientific article; zbMATH DE number 2076060