SU(2)-abelian graph manifolds with a single JSJ torus
Geometric Topology
2024-09-18 v2
Abstract
A 3-manifold is called \emph{SU(2)}-abelian if every SU(2)-representation of its fundamental group has abelian image. We classify, in terms of the Seifert coefficients, SU(2)-abelian 3-manifolds among the family of graph manifolds obtained by gluing two Seifert spaces both fibred over a disk and with two singular fibers. Finally, we prove that these SU(2)-abelian manifolds are Heegaard Floer homology L-spaces.
Keywords
Cite
@article{arxiv.2408.16635,
title = {SU(2)-abelian graph manifolds with a single JSJ torus},
author = {Giacomo Bascapè},
journal= {arXiv preprint arXiv:2408.16635},
year = {2024}
}