A note on rational surgeries on a Hopf link
Geometric Topology
2024-10-18 v1
Abstract
It is clear that every rational surgery on a Hopf link in -sphere is a lens space surgery. In this note we give an explicit computation which lens space is a resulting manifold. The main tool we use is the calculus of continued fractions. As a corollary, we recover the (well known) result on the criterion for when rational surgery on a Hopf link gives the -sphere.
Keywords
Cite
@article{arxiv.2410.13014,
title = {A note on rational surgeries on a Hopf link},
author = {Velibor Bojković and Jovana Nikolić and Mladen Zekić},
journal= {arXiv preprint arXiv:2410.13014},
year = {2024}
}