Integral Riemann–Roch formulae for cyclic subgroups of mapping class groups

DOI10.1017/S0305004107001016zbMath1159.55005arXivmath/0612380OpenAlexW2105985593MaRDI QIDQ3503693

Toshiyuki Akita, Nariya Kawazumi

Publication date: 9 June 2008

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0612380

zbMATH Keywords

mapping class groupcharacteristic classesRiemann-Roch theoremintegral cohomology classes

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) Group actions on manifolds and cell complexes in low dimensions (57M60) Homology of classifying spaces and characteristic classes in algebraic topology (55R40)

Related Items (2)

An integral Riemann-Roch theorem for surface bundles ⋮ Periodicity for Mumford-Morita-Miller classes of surface symmetries

Cites Work

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• The second homology group of the mapping class group of an orientable surface
• Riemann-Hurwitz formula for Morita-Mumford classes and surface symmetries
• On the Yagita invariant of mapping class groups
• Weierstrass points and Morita-Mumford classes on hyperelliptic mapping class groups
• The Cohomology Representation of an Action of C p on a Surface
• Nilpotency and triviality of mod p Morita-Mumford classes of mapping class groups of surfaces
• Divisibility of the stable Miller-Morita-Mumford classes
• Characteristic classes of surface bundles
• Periodic surface automorphisms and algebraic independence of Morita-Mumford classes

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