The twist subgroup of the mapping class group of a nonorientable surface

zbMath1193.57009arXiv0709.2798MaRDI QIDQ1043685

Michał Stukow

Publication date: 9 December 2009

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0709.2798

zbMATH Keywords

non-orientable surfaceMapping class grouptwist subgroup

Mathematics Subject Classification ID

General low-dimensional topology (57M99) Other groups related to topology or analysis (20F38)

Related Items (15)

Generating the twist subgroup by involutions ⋮ Generating the mapping class group of a nonorientable surface by three torsions ⋮ Homological stability for automorphism groups ⋮ Generating the mapping class group of a nonorientable surface by crosscap transpositions ⋮ Automorphisms of the mapping class group of a nonorientable surface ⋮ Low‐dimensional linear representations of mapping class groups ⋮ One-ended subgroups of mapping class groups ⋮ Crosscap slides and the level 2 mapping class group of a nonorientable surface ⋮ On the commutator length of a Dehn twist ⋮ Roots of Dehn twists on nonorientable surfaces ⋮ Torsion normal generators of the mapping class group of a nonorientable surface ⋮ Minimal number of singular fibers in a nonorientable Lefschetz fibration ⋮ Torsion generators of the twist subgroup ⋮ A finite presentation for the hyperelliptic mapping class group of a nonorientable surface ⋮ Exhausting curve complexes by finite superrigid sets on nonorientable surfaces

Cites Work

• A presentation for the mapping class group of a non-orientable surface from the action on the complex of curves
• A presentation for the mapping class group of the closed non-orientable surface of genus 4
• Mapping class groups of nonorientable surfaces
• The stable moduli space of Riemann surfaces: Mumford's conjecture
• Homological stability for the mapping class groups of non-orientable surfaces
• Curves von 2-manifolds and isotopies
• Generating mapping class groups of nonorientable surfaces with boundary
• Homeomorphisms of a Surface which Act Trivially on Homology
• First homology group of mapping class groups of nonorientable surfaces
• Untersuchungen zur Topologie der geschlossenen zweiseitigen Flächen. III
• A finite presentation of the mapping class group of a punctured surface
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