INDECOMPOSABLE SURFACE BUNDLES OVER SURFACES

DOI10.1142/S179352531350009XzbMath1272.57017arXiv1209.1162OpenAlexW2093124098MaRDI QIDQ5300674

Dan Margalit, Refik İnanç Baykur

Publication date: 27 June 2013

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.1162

zbMATH Keywords

mapping class groupssurface bundlesright angled Artin groups

Mathematics Subject Classification ID

Geometric group theory (20F65) General geometric structures on low-dimensional manifolds (57M50) Fiber spaces and bundles in algebraic topology (55R99)

Related Items

Surface bundles over surfaces with arbitrarily many fiberings ⋮ Lefschetz fibrations and Torelli groups ⋮ A Note on the Fundamental Group of Kodaira Fibrations

Cites Work

• The geometry of right-angled Artin subgroups of mapping class groups
• Commutators, Lefschetz fibrations and the signatures of surface bundles
• Abelian and solvable subgroups of the mapping class group
• Co-contractions of graphs and right-angled Artin groups.
• The asymptotic geometry of right-angled Artin groups. I.
• Presentations of subgroups of the braid group generated by powers of band generators.
• A new approach to the word and conjugacy problems in the braid groups
• Surface groups inside mapping class groups
• On representations of Artin groups and the Tits conjecture
• Relations among the squares of the generators of the braid group
• Surface bundles over surfaces of small genus
• On linear and residual properties of graph products
• Embeddings of graph braid and surface groups in right-angled Artin groups and braid groups.
• Right-angled Artin groups and a generalized isomorphism problem for finitely generated subgroups of mapping class groups
• Embeddability between right-angled Artin groups..
• Non-holomorphic surface bundles and Lefschetz fibrations
• A combination theorem for Veech subgroups of the mapping class group
• SURFACE SUBGROUPS OF RIGHT-ANGLED ARTIN GROUPS
• On Subgroups of the Pentagon Group
• The solution to a conjecture of Tits on the subgroup generated by the squares of the generators of an Artin group