ABELIAN COVERS OF SURFACES AND THE HOMOLOGY OF THE LEVEL L MAPPING CLASS GROUP

DOI10.1142/S179352531100060XzbMath1238.57024arXiv0907.1718MaRDI QIDQ3094724

Andrew Putman

Publication date: 25 October 2011

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.1718

zbMATH Keywords

surfacecohomologymapping class group

Mathematics Subject Classification ID

General low-dimensional topology (57M99)

Related Items

Simple closed curves in stable covers of surfaces, The second rational homology group of the moduli space of curves with level structures, Dynamical and cohomological obstructions to extending group actions

Cites Work

• Unnamed Item
• Prym representations of mapping class groups
• The structure of the Torelli group. I: A finite set of generators for \({\mathcal I}\)
• The first cohomology of the mapping class group with coefficients in algebraic functions on the \(\mathrm{SL}_2(\mathbb C)\) moduli space.
• Stability of the homology of the mapping class groups of orientable surfaces
• Families of Jacobian manifolds and characteristic classes of surface bundles. I
• Homotopiegruppen von Komplexen
• The stable moduli space of Riemann surfaces: Mumford's conjecture
• Cutting and pasting in the Torelli group
• Complexes and homotopy chains