S-duality II (Ex)
From Manifold Atlas
Exercise 0.1. Let be an -GPC with SNF and denote by the canonical -duality map. Choose the Thom class and the fundamental class . Show that
Exercise 0.2. Let be an -GPC with SNF . Choose the Thom class and the fundamental class so that . Prove that the following diagram commutes up to chain homotopy: