Generators for the bordism algebra of immersions

Abstract

Let us denote by I ( n , k ) I(n,k) the group of bordism classes of immersions of closed smooth n n -manifolds in closed smooth ( n + k ) (n + k) -manifolds ( k > 0 ) (k > 0) . We can make I ( ∗ , k ) I({\ast },k) into a graded algebra over the unoriented bordism ring. This algebra is polynomial. In this paper we give two sets of immersions which are polynomial generators.