Three lens space summands from the Poincar\'e homology sphere
Geometric Topology
2021-01-06 v1
Abstract
A regular fiber of the Seifert fibering of the Poincar\'e homology sphere admits a Dehn surgery to . We prove that this is the only knot in the Poincar\'e homology sphere with a surgery to a connected sum of more than two lens spaces.
Keywords
Cite
@article{arxiv.2101.01256,
title = {Three lens space summands from the Poincar\'e homology sphere},
author = {Jacob Caudell},
journal= {arXiv preprint arXiv:2101.01256},
year = {2021}
}
Comments
10 pages, 4 figures