Exotic diffeomorphisms on closed aspherical $4$-manifolds

@misc{konno2026exotic,
  title = {{Exotic diffeomorphisms on closed aspherical $4$-manifolds}},
  author = {Hokuto Konno and Jianfeng Lin and Anubhav Mukherjee and Juan Muñoz-Echániz},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.21083},
  eprint = {2610.21083},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.21083},
}

TY  - UNPB
TI  - Exotic diffeomorphisms on closed aspherical $4$-manifolds
AU  - Hokuto Konno
AU  - Jianfeng Lin
AU  - Anubhav Mukherjee
AU  - Juan Muñoz-Echániz
PY  - 2026
DA  - 2026/10/15
PB  - arXiv
DO  - 10.48550/arxiv.2610.21083
UR  - https://arxiv.org/abs/2610.21083
AB  - 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.
ER  -