The high-dimensional cohomology of the moduli space of curves with level structures. II: Punctures and boundary

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)

Cites Work

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The Picard group of the moduli space of curves with level structures
An affine open covering of \({\mathcal{M}_g}\) for \(g \leq 5\)
Euler characteristics of moduli spaces of curves
The second rational homology group of the moduli space of curves with level structures
On triangulations of surfaces
The virtual cohomological dimension of the mapping class group of an orientable surface
On finiteness properties of the Johnson filtrations
The Euler characteristic of the moduli space of curves
Abelianizations of derivation Lie algebras of the free associative algebra and the free Lie algebra
Topology of the tropical moduli spaces \(\Delta_{2,n}\)
The high-dimensional cohomology of the moduli space of curves with level structures
Tethers and homology stability for surfaces
The stable moduli space of Riemann surfaces: Mumford's conjecture
Cutting and pasting in the Torelli group
Cohomological dimension of algebraic varieties
Abelian quotients of subgroups of the mapping class group and higher Prym representations
The abelianization of the level d mapping class group
The Rational Cohomology of the Mapping Class Group Vanishes in its Virtual Cohomological Dimension
Trees and mapping class groups
A stability conjecture for the unstable cohomology of SL_n Z, mapping class groups, and Aut(F_n)
Stable cohomology of the mapping class group with symplectic coefficients and of the universal Abel-Jacobi map
Torelli Groups and Geometry of Moduli Spaces of Curves
Tropical curves, graph complexes, and top weight cohomology of ℳ_{ℊ}
A note on the abelianizations of finite-index subgroups of the mapping class group
Mapping class groups and their relationship to braid groups