English

Exotic diffeomorphisms on a contractible 4-manifold surviving two stabilizations

Geometric Topology 2025-10-21 v2

Abstract

We develop a Pin(2)×Z2\mathrm{Pin}(2) \times \mathbb{Z}_2-equivariant refinement of the lattice homotopy type for computing equivariant Seiberg--Witten Floer homotopy types. As an application, we construct a relatively exotic diffeomorphism on a compact contractible 4-manifold that survives two stabilizations.

Keywords

Cite

@article{arxiv.2510.12394,
  title  = {Exotic diffeomorphisms on a contractible 4-manifold surviving two stabilizations},
  author = {Sungkyung Kang and JungHwan Park and Masaki Taniguchi},
  journal= {arXiv preprint arXiv:2510.12394},
  year   = {2025}
}

Comments

131 pages, 1 figures; comments welcome!; minor typos corrected, cleveref problem fixed

R2 v1 2026-07-01T06:36:13.241Z