On 2-knots and connected sums with projective planes
Geometric Topology
2019-01-31 v1
Abstract
In this paper, we generalize a result of Satoh to show that for any odd natural , the connected sum of the -twist spun sphere of a knot and an unknotted projective plane in the 4-sphere is equivalent to the same unknotted projective plane. We additionally provide a fix to a small error in Satoh's proof of the case that is a 2-bridge knot.
Keywords
Cite
@article{arxiv.1901.10972,
title = {On 2-knots and connected sums with projective planes},
author = {Vincent Longo},
journal= {arXiv preprint arXiv:1901.10972},
year = {2019}
}