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

Teruaki Kitano; Yoshikazu Yamaguchi

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arXiv · 1602.07503

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

Teruaki Kitano·Yoshikazu Yamaguchi

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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.

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BibTeX RIS

Teruaki Kitano, Yoshikazu Yamaguchi. 2016-03-03. SL(2;R)-representations of a Brieskorn homology 3-sphere. https://arxiv.org/abs/1602.07503

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