Weierstrass points and Morita-Mumford classes on hyperelliptic mapping class groups

DOI10.1016/S0166-8641(01)00272-3zbMath1020.57005MaRDI QIDQ1862097

Nariya Kawazumi

Publication date: 10 March 2003

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

zbMATH Keywords

hyperelliptic curvesBernoulli numbersmapping class groupsgap sequencesMorita-Mumford classes

Mathematics Subject Classification ID

General low-dimensional topology (57M99) Special algebraic curves and curves of low genus (14H45) Riemann surfaces; Weierstrass points; gap sequences (14H55) Families, moduli of curves (analytic) (14H15)

Related Items

Integral Riemann–Roch formulae for cyclic subgroups of mapping class groups, Periodicity for Mumford-Morita-Miller classes of surface symmetries

Cites Work

• Riemann-Hurwitz formula for Morita-Mumford classes and surface symmetries
• Homology of hyperelliptic mapping class groups for surfaces
• The homology of the mapping class group
• Morita-Mumford classes on finite cyclic subgroups of the mapping class group of closed surfaces
• A fibre bundle description of Teichmüller theory
• Mapping class groups of low genus and their cohomology
• Nilpotency and triviality of mod p Morita-Mumford classes of mapping class groups of surfaces
• On the Mapping Class Groups for Punctured Spheres, the Hyperelliptic Mapping Class Groups, SO(3), and Spin c (3)
• Diffeomorphisms of the 2-Sphere
• Characteristic classes of surface bundles
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