A VANISHING THEOREM for the η-INVARIANT and HURWITZ GROUPS

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Abstract

In this paper we discuss a relationship between the spectral asymmetry and the surface symmetry. More precisely, we show that for every automorphism of a Hurwitz surface with the automorphism group PSL(2, Fq), the η-invariant of the corresponding mapping torus vanishes if q is sufficiently large.

Original languageEnglish
Pages (from-to)114-123
Number of pages10
JournalNagoya Mathematical Journal
Volume228
DOIs
Publication statusPublished - 2017 Dec 1

ASJC Scopus subject areas

  • Mathematics(all)

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