Reducibility of automorphisms of Hurwitz surfaces and the η-invariant

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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.

元の言語English
記事番号1450119
ジャーナルInternational Journal of Mathematics
25
発行部数13
DOI
出版物ステータスPublished - 2014 12 16

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ASJC Scopus subject areas

  • Mathematics(all)

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