SL(2;R)-representations of a Brieskorn homology 3-sphere

Abstract

We classify SL(2;C)-representations of a Brieskorn homology 3-sphere. We show any irreducible representation into SL(2;C) is conjugate to that into either SU(2) or SL(2;R). We also give a construction of SL(2;R)-representations for a Brieskorn homology 3-sphere from PSL(2;R)-representations of the base orbifold fundamental group.

References in corpus (1)

• The asymptotic behavior of the Reidemeister torsion for Seifert manifolds and PSL(2;R)-representations of Fuchsian groups

Cited by in corpus (3)

• Resurgence in complex Chern-Simons theory
• M-theoretic Genesis of Topological Phases
• Non-acyclic ${\mathrm{SL}}_2$-representations of twist knots, $-3$-Dehn surgeries, and $L$-functions