Work

Exotic diffeomorphisms on closed aspherical $4$-manifolds

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.21083

Authors: Konno, Hokuto, Lin, Jianfeng, Mukherjee, Anubhav, Muñoz-Echániz, Juan

Institution: The University of Tokyo

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7222683800

Cites: 13

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Related to: 10