SL(2;R)-representations of a Brieskorn homology 3-sphere
classification
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math.GN
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representationsbrieskornhomologyspherebaseclassifyconjugateconstruction
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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.
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