We compute the topological mapping class group of every compact, simply connected, topological 4-manifold. This was previously only known in the closed case. If the 4-manifold is smooth, we deduce an analogous description of the stable smooth mapping class group, extending work of Saeki.
- Pub Date:
- July 2022
- Mathematics - Geometric Topology;
- v2 details new consequences of our results in the context of self-homeomorphisms that do not fix the boundary pointwise, and adds an appendix containing a recent new result of Auckley-Kronheimer-Ruberman