A presentation of mapping class groups in terms of Artin groups and geometric monodromy of singularities

DOI10.1007/s002080050336zbMath0968.57014OpenAlexW2069726284MaRDI QIDQ1974126

Makoto Matsumoto

Publication date: 19 September 2001

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002080050336

zbMATH Keywords

geometric monodromyArtin groupsmapping class group

Mathematics Subject Classification ID

General low-dimensional topology (57M99) Braid groups; Artin groups (20F36)

Related Items (17)

Conjugacy Classes of the Hyperelliptic Mapping Class Group of Genus 2 and 3 ⋮ The complex of pant decompositions of a surface ⋮ A stable classification of Lefschetz fibrations ⋮ Factoring periodic maps into Dehn twists ⋮ Framed mapping class groups and the monodromy of strata of abelian differentials ⋮ Right‐angled Artin subgroups of Artin groups ⋮ An elementary approach to the mapping class group of a surface ⋮ Lantern relations and rational blowdowns ⋮ Monodromy and vanishing cycles in toric surfaces ⋮ A finite presentation for the mapping class group of a nonorientable surface with Dehn twists and one crosscap slide as generators ⋮ Presentations for the punctured mapping class groups in terms of Artin groups ⋮ Orlov spectra: bounds and gaps ⋮ A presentation for the mapping class group of a nonorientable surface ⋮ Geometric subgroups of mapping class groups ⋮ Artin groups and the fundamental groups of some moduli spaces ⋮ Generating the spin mapping class group by Dehn twists ⋮ Quadratic vanishing cycles, reduction curves and reduction of the monodromy group of plane curve singularities

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