English

Equivariant Corks

Geometric Topology 2018-03-16 v1

Abstract

For suitable finite groups G, we construct contractible 4-manifolds C with an effective G-action on C\partial C whose associated pairs (C,g) for all gGg \in G are distinct smoothings of the pair (C,C)(C,\partial C). Indeed C embeds in a 4-manifold so that cutting out C and regluing using distinct elements of G yield distinct smooth 4-manifolds.

Keywords

Cite

@article{arxiv.1602.07650,
  title  = {Equivariant Corks},
  author = {Dave Auckly and Hee Jung Kim and Paul Melvin and Daniel Ruberman},
  journal= {arXiv preprint arXiv:1602.07650},
  year   = {2018}
}

Comments

9 pages, 3 figures

R2 v1 2026-06-22T12:57:05.758Z