Reducibility of automorphisms of Hurwitz surfaces and the η-invariant

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

In this paper, we discuss a relationship between the surface symmetry and the spectral asymmetry. More precisely we show that an automorphism of the Macbeath surface of genus 7, or one of the three Hurwitz surfaces of genus 14 is reducible if and only if the η-invariant of the corresponding mapping torus vanishes.

Original languageEnglish
Article number1450119
JournalInternational Journal of Mathematics
Volume25
Issue number13
DOIs
Publication statusPublished - 2014 Dec 16

Fingerprint

Reducibility
Automorphisms
Invariant
Genus
Automorphism
Asymmetry
Vanish
Torus
If and only if
Symmetry

Keywords

  • automorphism
  • Hurwitz surface
  • Macbeath surface
  • reducibility
  • η-invariant

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Reducibility of automorphisms of Hurwitz surfaces and the η-invariant. / Morifuji, Takayuki.

In: International Journal of Mathematics, Vol. 25, No. 13, 1450119, 16.12.2014.

Research output: Contribution to journalArticle

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