Browder-Livesay filtrations and the example of Cappell and Shaneson

Friedrich Hegenbarth, Yuri V. Muranov, Dušan Repovš

Let $M^3$ be a 3-dimensional manifold with fundamental group ${\pi }_1(M)$ which contains a quaternion subgroup $Q$ of order 8. In 1979 Cappell and Shaneson constructed a nontrivial nor…