Mapping class groups of simply connected 4-manifolds with boundary
Abstract
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- July 2022
- DOI:
- 10.48550/arXiv.2207.05986
- arXiv:
- arXiv:2207.05986
- Bibcode:
- 2022arXiv220705986O
- Keywords:
-
- Mathematics - Geometric Topology;
- 57K40;
- 57N37;
- 57R52;
- 57S05
- E-Print:
- 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