Manifolds with involution whose fixed point set has variable codimension (Q1916462)

This paper studies the set of unoriented cobordism classes represented by manifolds having an involution for which the fixed set has components of codimensions \(1 < k_1 < k_2 < \cdots < k_r\), for a fixed sequence of \(k\) values. The results have the form that the set of such classes is the same as the set of classes with a single codimension, \(k_1\). The hypotheses vary, but have the form that the \(k_i\) are all the same modulo some power of 2 and that \(k_2\) is large with respect to \(k_1\). This provides an interesting extension of the body of work on involutions with fixed set of constant codimension.