The homology of the stable nonorientable mapping class group

DOI10.2140/agt.2008.8.1811zbMath1211.55007arXiv0803.3825OpenAlexW3104059127MaRDI QIDQ1007171

Oscar Randal-Williams

Publication date: 20 March 2009

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.3825

zbMATH Keywords

mapping class groupsurface bundleEilenberg-Moore spectral sequencenonorientable surfacecharacteristic classDyer-Lashof operation

Mathematics Subject Classification ID

General low-dimensional topology (57M99) Characteristic classes and numbers in differential topology (57R20) Infinite loop spaces (55P47) Dyer-Lashof operations (55S12) Eilenberg-Moore spectral sequences (55T20)

Related Items (2)

On the divisibility of characteristic classes of non-oriented surface bundles ⋮ The Dyer-Lashof algebra and the hit problems

Cites Work

• Unnamed Item
• The homotopy type of the cobordism category
• The transfer map and fiber bundles
• Evaluation of the transfer and the universal surgery classes
• Exotic convergence of the Eilenberg-Moore spectral sequence
• The homology of iterated loop spaces
• Mod \(p\) homology of the stable mapping class group
• On the divisibility of characteristic classes of non-oriented surface bundles
• The stable moduli space of Riemann surfaces: Mumford's conjecture
• Homological stability for the mapping class groups of non-orientable surfaces
• On the structure of Hopf algebras
• THE REAL SEMICHARACTERISTIC OF A FIBERED MANIFOLD
• S 1 -Equivariant Function Spaces and Characteristic Classes
• DYER-LASHOF OPERATIONS FOR THE CLASSIFYING SPACES OF CERTAIN MATRIX GROUPS
• First homology group of mapping class groups of nonorientable surfaces
• The stable mapping class group and \(Q(\mathbb C P^ \infty_ +)\).

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