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math.GT2012★ 8 cited
On the cohomology of pure mapping class groups as FI-modules
Rita Jimenez Rolland
In this paper we apply the theory of finitely generated FI-modules developed by Church, Ellenberg and Farb to certain sequences of rational cohomology groups. Our main examples are…
math.GT2011★ 11 cited
Representation stability for the cohomology of the moduli space M_g^n
Rita Jimenez Rolland
Let M_g^n be the moduli space of Riemann surfaces of genus g with n labeled marked points. We prove that, for g \geq 2, the cohomology groups {H^i(M_g^n;Q)}_{n=1}^{\infty} form a s…