We consider the problem of when an L-space homology sphere gives rise to lens spaces.
We will show that when a knot in an L-space homology sphere $Y$ yields $L(p,q)$ by an integral Dehn surgery,
then the slope $p$ is bounded by the genus of the knot and the correction term of $Y$,
and we will demonstrate that many lens spaces are obtained from an L-space homology sphere
whose correction term is equal to $2$.
Publié le : 2009-05-15
Classification:
Lens surgery,
Heegaard Floer homology,
Alexander polynomial,
homology sphere,
57M25,
57M27,
57R58
@article{1259158466,
author = {Tange, Motoo},
title = {Lens Spaces Given from L-Space Homology 3-Spheres},
journal = {Experiment. Math.},
volume = {18},
number = {1},
year = {2009},
pages = { 285-301},
language = {en},
url = {http://dml.mathdoc.fr/item/1259158466}
}
Tange, Motoo. Lens Spaces Given from L-Space Homology 3-Spheres. Experiment. Math., Tome 18 (2009) no. 1, pp. 285-301. http://gdmltest.u-ga.fr/item/1259158466/