G-corks & Heegaard Floer Homology
Geometric Topology
2016-09-19 v1
Abstract
Recently Auckly-Kim-Melvin-Ruberman showed that for any finite subgroup G of SO(4) there exists a contractible 4-manifold with an effective G-action on its boundary so that the twists associated to the non-trivial elements of G do not extend to diffeomorphisms of the entire manifold. We use a Heegaard Floer theoretic argument originating in work of Akbulut-Karakurt to give a different proof of this phenomenon.
Cite
@article{arxiv.1609.04857,
title = {G-corks & Heegaard Floer Homology},
author = {Biji Wong},
journal= {arXiv preprint arXiv:1609.04857},
year = {2016}
}
Comments
6 pages, 4 figures