A note on rational surgeries on a Hopf link

@article{Bojković2023,
abstract = {It is clear that every rational surgery on a Hopf link in $3$-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 $3$-sphere.},
author = {Bojković, Velibor, Nikolić, Jovana, Zekić, Mladen},
journal = {Czechoslovak Mathematical Journal},
keywords = {continued fraction; Hopf link; lens space; rational surgery; Rolfsen moves},
language = {eng},
number = {2},
pages = {603-611},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A note on rational surgeries on a Hopf link},
url = {http://eudml.org/doc/299516},
volume = {73},
year = {2023},
}

TY - JOUR
AU - Bojković, Velibor
AU - Nikolić, Jovana
AU - Zekić, Mladen
TI - A note on rational surgeries on a Hopf link
JO - Czechoslovak Mathematical Journal
PY - 2023
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 73
IS - 2
SP - 603
EP - 611
AB - It is clear that every rational surgery on a Hopf link in $3$-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 $3$-sphere.
LA - eng
KW - continued fraction; Hopf link; lens space; rational surgery; Rolfsen moves
UR - http://eudml.org/doc/299516
ER -