Exotic diffeomorphisms on closed aspherical 4-manifolds
Hokuto Konno, Jianfeng Lin, Anubhav Mukherjee, Juan Muñoz-Echániz
Abstract
We study a class of diffeomorphisms of closed manifolds obtained from Davis' reflection trick construction, which are obtained by reflecting a diffeomorphism supported in the fundamental chamber of such a manifold. We use this construction to exhibit the first examples of closed aspherical 4-manifolds with diffeomorphisms that are topologically isotopic to the identity map, but not smoothly isotopic to it.
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