A remark on the η-invariant for automorphisms of hyperelliptic Riemann surfaces

Takayuki Morifuji

doi:10.1017/s0004972700018645

A remark on the η-invariant for automorphisms of hyperelliptic Riemann surfaces

Takayuki Morifuji

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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
Pages (from-to)	177-182
Number of pages	6
Journal	Bulletin of the Australian Mathematical Society
Volume	62
Issue number	2
DOIs	https://doi.org/10.1017/s0004972700018645
Publication status	Published - 2000 Oct
Externally published	Yes

ASJC Scopus subject areas

Mathematics(all)

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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.",

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