Exotic diffeomorphisms on a contractible 4-manifold surviving two stabilizations

We develop a $\mathrm{Pin}(2) \times \mathbb{Z}_2$-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.

Publication Details

Journal
ArXiv.org
Published
2025-10-14
Primary Topic
Geometric and Algebraic Topology
Type
article
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article

Exotic diffeomorphisms on a contractible 4-manifold surviving two stabilizations

ArXiv.org
Geometric and Algebraic Topology
article

Exotic diffeomorphisms on a contractible 4-manifold surviving two stabilizations

article en

Abstract

We develop a $\mathrm{Pin}(2) \times \mathbb{Z}_2$-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.

ArXiv.org
Openalex Percentile: Top 37%
Geometric and Algebraic Topology
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Exotic diffeomorphisms on a contractible 4-manifold surviving two stabilizations · ArXiv.org (2025) | TGRS Research Map | TGRS