3 papers
math.GT2026
Some knots with no SU(2)-abelian surgeries
Giacomo Bascape
A knot in is said to be \emph{not} -abelian knot, if every non-trivial surgery along it yields a -manifold whose fundamental group admits an irreducible -rep…
math.GT2025
Toroidal graph manifolds with small homology are not SU(2)-abelian
Giacomo Bascape
We show that if is a toroidal closed graph manifold rational homology -sphere with , then there exists an irreducible representation $\fund{Y} \to…
math.GT2024
SU(2)-abelian graph manifolds with a single JSJ torus
Giacomo Bascapè
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)-abeli…