Exotic $\mathbb{R}^4$'s with Compactly Supported Diffeomorphisms
Geometric Topology
2025-08-05 v1
Abstract
We construct exotic copies of with nontrivial compactly supported mapping class groups of arbitrarily large rank. This follows from a modification of the construction of the diffeomorphism corks of arXiv:2407.04696 that makes their exteriors simply-connected.
Cite
@article{arxiv.2508.02017,
title = {Exotic $\mathbb{R}^4$'s with Compactly Supported Diffeomorphisms},
author = {Abhishek Shivkumar},
journal= {arXiv preprint arXiv:2508.02017},
year = {2025}
}