Homotopy Groups of the Space of Self-Homotopy-Equivalences
Homotopy Groups of the Space of Self-Homotopy-Equivalences
Let M be a connected sum of r closed aspherical manifolds of dimension n > 3, and let EM denote the space of self-homotopy-equivalences of M, with basepoint the identity map of M. Using obstruction theory, we calculate irq(EM) for 1 < q < n -3 and show that ir"_2(EM) …