On the reducibility and the η-invariant of periodic automorphisms of genus 2 surface

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

We give a characterization for the reducibility of elements of any finite subgroup of the mapping class group of genus 2 surface in terms of the η-invariant of finite order mapping tori.

Original languageEnglish
Pages (from-to)827-831
Number of pages5
JournalJournal of Knot Theory and its Ramifications
Volume6
Issue number6
Publication statusPublished - 1997 Dec
Externally publishedYes

Fingerprint

Reducibility
Automorphisms
Genus
Invariant
Mapping Class Group
Torus
Subgroup

Keywords

  • η-invariant
  • Finite order mapping torus
  • Genus 2 surface
  • Mapping class group
  • Reducibility
  • Signature cocycle

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

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title = "On the reducibility and the η-invariant of periodic automorphisms of genus 2 surface",
abstract = "We give a characterization for the reducibility of elements of any finite subgroup of the mapping class group of genus 2 surface in terms of the η-invariant of finite order mapping tori.",
keywords = "η-invariant, Finite order mapping torus, Genus 2 surface, Mapping class group, Reducibility, Signature cocycle",
author = "Takayuki Morifuji",
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language = "English",
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pages = "827--831",
journal = "Journal of Knot Theory and its Ramifications",
issn = "0218-2165",
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number = "6",

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AU - Morifuji, Takayuki

PY - 1997/12

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KW - Finite order mapping torus

KW - Genus 2 surface

KW - Mapping class group

KW - Reducibility

KW - Signature cocycle

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