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

Takayuki Morifuji

doi:10.1142/s0218216597000467

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

Takayuki Morifuji

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	827-831
Number of pages	5
Journal	Journal of Knot Theory and its Ramifications
Volume	6
Issue number	6
DOIs	https://doi.org/10.1142/s0218216597000467
Publication status	Published - 1997 Dec
Externally published	Yes

Keywords

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

ASJC Scopus subject areas

Algebra and Number Theory

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10.1142/s0218216597000467

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

author = "Takayuki Morifuji",

year = "1997",

month = dec,

doi = "10.1142/s0218216597000467",

language = "English",

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AU - Morifuji, Takayuki

PY - 1997/12

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N2 - 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.

AB - 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.

KW - Finite order mapping torus

KW - Genus 2 surface

KW - Mapping class group

KW - Reducibility

KW - Signature cocycle

KW - η-invariant

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JO - Journal of Knot Theory and its Ramifications

JF - Journal of Knot Theory and its Ramifications

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ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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