Ito, Tetsuya; Kawamuro, Keiko Positive factorizations of symmetric mapping classes. (English) Zbl 1515.20224 J. Math. Soc. Japan 71, No. 1, 309-327 (2019). Summary: We study a question of J. B. Etnyre and J. van Horn-Morris [Geom. Topol. Monogr. 19, 319–365 (2015; Zbl 1337.57057)] 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. MSC: 20F65 Geometric group theory 53D35 Global theory of symplectic and contact manifolds 57M07 Topological methods in group theory 57K10 Knot theory Keywords:symmetric mapping class; positive factorization; quasipositive braid Citations:Zbl 1337.57057 PDF BibTeX XML Cite \textit{T. Ito} and \textit{K. Kawamuro}, J. Math. Soc. Japan 71, No. 1, 309--327 (2019; Zbl 1515.20224) Full Text: DOI arXiv Euclid