Positive factorizations of symmetric mapping classes

Tetsuya Ito; Keiko Kawamuro

doi:10.2969/jmsj/78827882

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Positive factorizations of symmetric mapping classes

Journal article

Open access

Peer reviewed

Positive factorizations of symmetric mapping classes

Tetsuya Ito and Keiko Kawamuro

Journal of the Mathematical Society of Japan, Vol.71(1), pp.309-327

01/01/2019

DOI: 10.2969/jmsj/78827882

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Abstract

We study a question of Etnyre and Van Horn-Morris whether a symmetric mapping class admitting a positive factorization is a lift of a quasipositive braid. We answer the question affirmatively for mapping classes satisfying certain cyclic conditions.

Mathematics

Physical Sciences

Science & Technology

Details

Title: Subtitle: Positive factorizations of symmetric mapping classes
Creators: Tetsuya Ito - Kyoto University
Keiko Kawamuro - Univ Iowa, Dept Math, Iowa City, IA 52242 USA
Resource Type: Journal article
Publication Details: Journal of the Mathematical Society of Japan, Vol.71(1), pp.309-327
Publisher: MATH SOC JAPAN
DOI: 10.2969/jmsj/78827882
ISSN: 0025-5645
eISSN: 1881-2333
Number of pages: 19
Grant note: DMS-1206770 / NSF 426710 / Simons Foundation Collaboration Grants for Mathematicians 15K17540; 16H02145 / JSPS KAKENHI
Language: English
Date published: 01/01/2019
Academic Unit: Mathematics
Record Identifier: 9984240876202771

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