On the bordism group for group actions on the torus
Geometric Topology
2021-05-10 v2 Algebraic Topology
Group Theory
Abstract
In this short note, we study the bordism problem for group actions on the torus and give examples of groups acting on the torus by diffeomorphisms isotopic to the identity that cannot be extended to an action on a bounding 3-manifold. This solves a question raised in the previous work of the authors.
Cite
@article{arxiv.2007.06546,
title = {On the bordism group for group actions on the torus},
author = {Kathryn Mann and Sam Nariman},
journal= {arXiv preprint arXiv:2007.06546},
year = {2021}
}
Comments
To appear at Annales de l'Institut Fourier