Positive factorizations of symmetric mapping classes

被引：1

作者：

Ito, Tetsuya ^{[1
]}

Kawamuro, Keiko ^{[2
]}

机构：

[1] Kyoto Univ, Dept Math, Kyoto 6068502, Japan

[2] Univ Iowa, Dept Math, Iowa City, IA 52242 USA

来源：

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN | 2019年 / 71卷 / 01期

关键词：

symmetric mapping class; positive factorization; quasipositive braid; BRANCHED COVERS; HOMEOMORPHISMS; BOUNDARY; SURFACES;

D O I：

10.2969/jmsj/78827882

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：309 / 327

页数：19

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