On Invariants of Hirzebruch and Cheeger – Gromov

  title={On Invariants of Hirzebruch and Cheeger – Gromov},
  author={Stanley Chang and Shmuel Weinberger},
We prove that, if M is a compact oriented manifold of dimension 4k + 3, where k > 0, such that π1(M) is not torsion-free, then there are infinitely many manifolds that are homotopic equivalent to M but not homeomorphic to it. To show the infinite size of the structure set of M , we construct a secondary invariant τ(2) : S(M) → R that coincides with the… CONTINUE READING