A note on the reductibility of automorphisms of the klein curve and the 77-invariant of mapping tori

Takayuki Morifuji

doi:10.1090/s0002-9939-98-04297-x

A note on the reductibility of automorphisms of the klein curve and the 77-invariant of mapping tori

Takayuki Morifuji

Research output: Contribution to journal › Article

4 Citations (Scopus)

Abstract

We give a characterization for the reducibility of automorphisms of the genus 3 Klein curve in terms of the η-invariant of finite order mapping tori.

Original language	English
Pages (from-to)	1945-1947
Number of pages	3
Journal	Proceedings of the American Mathematical Society
Volume	126
Issue number	7
DOIs	https://doi.org/10.1090/s0002-9939-98-04297-x
Publication status	Published - 1998
Externally published	Yes

Keywords

Klein curve
Mapping class group
Reducibility
η-invariant

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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title = "A note on the reductibility of automorphisms of the klein curve and the 77-invariant of mapping tori",

abstract = "We give a characterization for the reducibility of automorphisms of the genus 3 Klein curve in terms of the η-invariant of finite order mapping tori.",

keywords = "Klein curve, Mapping class group, Reducibility, η-invariant",

author = "Takayuki Morifuji",

year = "1998",

doi = "10.1090/s0002-9939-98-04297-x",

language = "English",

volume = "126",

pages = "1945--1947",

journal = "Proceedings of the American Mathematical Society",

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T1 - A note on the reductibility of automorphisms of the klein curve and the 77-invariant of mapping tori

AU - Morifuji, Takayuki

PY - 1998

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N2 - We give a characterization for the reducibility of automorphisms of the genus 3 Klein curve in terms of the η-invariant of finite order mapping tori.

AB - We give a characterization for the reducibility of automorphisms of the genus 3 Klein curve in terms of the η-invariant of finite order mapping tori.

KW - Klein curve

KW - Mapping class group

KW - Reducibility

KW - η-invariant

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JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

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