Commuting involutions with fixed point set of constant codimension (Q1292794)

This paper considers manifolds \(M^m\) with \((\mathbb{Z}_2)^k\)-action for which the fixed set has dimension \(r\). The set of cobordism classes of such manifolds is shown to be either all cobordism classes or all classes with Euler characteristic zero (if \(r\) is odd) provided \(m\) is sufficiently large. This is proved by finding generators of the cobordism ring which admit such actions.