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

2022/10/28 by Ruberman, Daniel, Strle, Sašo
#57M25 (Primary) 57Q60 (Secondary) #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.2210.16260

Abstract

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# S² × S². This extends and completes Wall's foundational result from 1964.

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