Surgery on tori in the 4-sphere
Geometric Topology
2019-02-27 v2
Abstract
We investigate the operation of torus surgery on tori embedded in . Key questions include which 4-manifolds can be obtained in this way, and the uniqueness of such descriptions. As an application we construct embeddings of 3-manifolds into 4-manifolds by viewing Dehn surgery as a cross section of a surgery on a surface. In particular, we give new embeddings of homology spheres into .
Keywords
Cite
@article{arxiv.1502.06834,
title = {Surgery on tori in the 4-sphere},
author = {Kyle Larson},
journal= {arXiv preprint arXiv:1502.06834},
year = {2019}
}
Comments
18 pages, 4 figures. Second version includes minor changes and improvements, including some recommended by the referee. This paper has been accepted for publication in the Mathematical Proceedings of the Cambridge Philosophical Society