A survey of Magnus representations for mapping class groups and homology cobordisms of surfaces

zbMath1272.57001arXiv1005.5501MaRDI QIDQ3144609

Takuya Sakasai

Publication date: 8 December 2012

Full work available at URL: https://arxiv.org/abs/1005.5501

Mathematics Subject Classification ID

General low-dimensional topology (57M99) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55) Research exposition (monographs, survey articles) pertaining to manifolds and cell complexes (57-02) Cobordism and concordance in topological manifolds (57N70)

Related Items (6)

Morita’s trace maps on the group of homology cobordisms ⋮ Homology cylinders of higher-order ⋮ Characteristic classes of moduli spaces— Riemann surface, graph, homology cobordism ⋮ Non virtually solvable subgroups of mapping class groups have non virtually solvable representations ⋮ Johnson-Morita theory in mapping class groups and monoids of homology cobordisms of surfaces ⋮ Lagrangian traces for the Johnson filtration of the handlebody group

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