The high-dimensional cohomology of the moduli space of curves with level structures
DOI10.4171/JEMS/945zbMath1453.14083arXiv1610.03768MaRDI QIDQ2178254
Neil J. Fullarton, Andrew Putman
Publication date: 7 May 2020
Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1610.03768
Families, moduli of curves (algebraic) (14H10) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Topological properties of groups of homeomorphisms or diffeomorphisms (57S05) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)
Related Items (5)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An affine open covering of \({\mathcal{M}_g}\) for \(g \leq 5\)
- Homology of the curve complex and the Steinberg module of the mapping class group
- The second rational homology group of the moduli space of curves with level structures
- Sur la cohomologie des variétés algébriques
- On triangulations of surfaces
- Stability of the homology of the mapping class groups of orientable surfaces
- The virtual cohomological dimension of the mapping class group of an orientable surface
- The Euler characteristic of the moduli space of curves
- Abelianizations of derivation Lie algebras of the free associative algebra and the free Lie algebra
- On the cohomological dimension of the moduli space of Riemann surfaces
- Tethers and homology stability for surfaces
- The stable moduli space of Riemann surfaces: Mumford's conjecture
- Cohomological dimension of algebraic varieties
- Trees and mapping class groups
- A stability conjecture for the unstable cohomology of SL_n Z, mapping class groups, and Aut(F_n)
- Torelli Groups and Geometry of Moduli Spaces of Curves
- The Cohomological Excess of Certain Moduli Spaces of Curves of Genus g
- On the homology and cohomology of congruence subgroups
This page was built for publication: The high-dimensional cohomology of the moduli space of curves with level structures