Exotic Dehn twists and homotopy coherent group actions
Geometric Topology
2024-09-27 v2
Abstract
We consider the question of extending a smooth homotopy coherent finite cyclic group action on the boundary of a smooth 4-manifold to its interior. As a result, we prove that Dehn twists along any Seifert homology sphere, except the 3-sphere, on their simply connected positive-definite fillings are infinite order exotic.
Keywords
Cite
@article{arxiv.2409.11806,
title = {Exotic Dehn twists and homotopy coherent group actions},
author = {Sungkyung Kang and JungHwan Park and Masaki Taniguchi},
journal= {arXiv preprint arXiv:2409.11806},
year = {2024}
}
Comments
23 pages; minor changes, comments welcome