MANIFOLDS WITH INVOLUTIONS WHOSE FIXED POINT SET HAS CONSTANT CODIMENSION

Let (M~n, T) be a smooth involution T on a closed manifold M~n. The fixed point set of T has a constant codimension k. Let J_n~k be the set of n-dimensional cobordism class in MO_n (unoriented cobordism group), which has such a representative. In this paper, we obtain a necessary and sufficient condition of α∈J_n~(2k), α∈J_n~(2l+1) for 2k≤40, 2t+1≤19.