2000 character limit reached
Toroidal graph manifolds with small homology are not SU(2)-abelian
Published 26 Jun 2025 in math.GT | (2506.21729v1)
Abstract: We show that if $Y$ is a toroidal closed graph manifold rational homology $3$-sphere with $|H_1(Y;\mathbb{Z})| \le 5$, then there exists an irreducible representation $\fund{Y} \to SU(2)$. This answers positively to a conjecture by Baldwin and Sivek in the case of graph manifolds.
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.