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Wall's stable realization for diffeomorphisms of definite 4-manifolds
Preprint

Wall's stable realization for diffeomorphisms of definite 4-manifolds

Daniel Ruberman and Sašo Strle
ArXiv.org
arXiv
10/28/2022
DOI: https://doi.org/10.48550/arXiv.2210.16260

Abstract

Mathematics - Geometric Topology
Let $X$ be a smooth simply connected closed 4-manifold with definite intersection form. We show that any automorphism of the intersection form of $X$ is realized by a diffeomorphism of $X \mathbin{\#} S^2 \times S^2$. This extends and completes Wall's foundational result from 1964.

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