Homology of hyperelliptic mapping class groups for surfaces

DOI10.1016/S0166-8641(96)00105-8zbMath0892.57008OpenAlexW2044838330WikidataQ127011698 ScholiaQ127011698MaRDI QIDQ1356942

Nariya Kawazumi

Publication date: 3 August 1998

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0166-8641(96)00105-8

zbMATH Keywords

configuration spacemoduli spaceWeierstrass points

Mathematics Subject Classification ID

Related Items (8)

On the cohomology of the hyperelliptic mapping class group ⋮ A topological approach to indices of geometric operators on manifolds with fibered boundaries ⋮ The spectrum of simplicial volume ⋮ The first homology group of the hyperelliptic mapping class group with twisted coefficients ⋮ Riemann-Hurwitz formula for Morita-Mumford classes and surface symmetries ⋮ Braid groups and mapping class groups: The Birman–Hilden theory ⋮ Weierstrass points and Morita-Mumford classes on hyperelliptic mapping class groups ⋮ A finite presentation for the hyperelliptic mapping class group of a nonorientable surface

Uses Software

• Mathematica

Cites Work

• Cohomologies of braid groups
• Cohomologies of the group COS mod 2
• Mapping class groups of low genus and their cohomology
• On the Mapping Class Groups for Punctured Spheres, the Hyperelliptic Mapping Class Groups, SO(3), and Spin c (3)
• Cohomology of braid spaces
• The Nielsen realization problem
• Characteristic classes of surface bundles
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