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

Published online by Cambridge University Press:  17 April 2009

Takayuki Morifuji
Takayuki Morifuji
Affiliation:
Graduate School of Mathematical Sciences, The University of Tokyo, Komaba, Meguro, Tokyo 153–8914, Japan e-mail: morifuji@ms406ss5.ms.u-tokyo.ac.jp
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Abstract

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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.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 62 , Issue 2 , October 2000 , pp. 177 - 182
Copyright
Copyright © Australian Mathematical Society 2000

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