### Abstract

We give a characterisation for the vanishing of the η-invariant of prime order automorphisms of hyperelliptic Riemann surfaces through the mapping torus construction. To this end, we introduce a notion of s-symmetry for finite order surface automorphisms.

Original language | English |
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Pages (from-to) | 177-182 |

Number of pages | 6 |

Journal | Bulletin of the Australian Mathematical Society |

Volume | 62 |

Issue number | 2 |

Publication status | Published - 2000 Oct 1 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Mathematics(all)