11 citations · 27 across the 10 of their papers we have counts for
10 papers
Periodicity of the pure mapping class group of non-orientable surfaces
Nestor Colin, Rita Jiménez Rolland, Miguel A. Xicoténcatl
We show that the pure mapping class group of a non-orientable closed surface of genus with marked points has -periodic cohomo…
Commensurators of abelian subgroups and the virtually abelian dimension of mapping class groups
Rita Jiménez Rolland, Porfirio L. León Álvarez, Luis Jorge Sánchez Saldaña
Let be the mapping class group of a compact connected orientable surface , possibly with punctures and boundary components, with negative Euler characteristic.…
Stability properties of moduli spaces
Rita Jimenez Rolland, Jennifer C. H. Wilson
We survey stability properties of several families of moduli spaces, with a focus on braid groups and configuration spaces.
Linear representation stable bounds for the integral cohomology of pure mapping class groups
Rita Jimenez Rolland
In this paper we study the integral cohomology of pure mapping class groups of surfaces, and other related groups and spaces, as FI-modules. We use recent results from Church, Mill…
The cohomology of as an FI-module
Rita Jimenez Rolland
In this paper we revisit the cohomology groups of the moduli space of -pointed curves of genus zero using the FI-module perspective introduced by Church-Ellenberg-Farb. We recov…
Generating functions and statistics on spaces of maximal tori in classical Lie groups
Jason Fulman, Rita Jimenez Rolland, Jennifer C. H. Wilson
In this paper we use generating function methods to obtain new asymptotic results about spaces of -stable maximal tori in , , and…
Convergence criteria for FI-algebras and polynomial statistics on maximal tori in type B/C
Rita Jimenez Rolland, Jennifer C. H. Wilson
A result of Lehrer describes a beautiful relationship between topological and combinatorial data on certain families of varieties with actions of finite reflection groups. His form…
Representation stability for the pure cactus group
Joaquín Maya Duque, Rita Jiménez Rolland
The fundamental group of the real locus of the Deligne-Mumford compactification of the moduli space of rational curves with marked points, the pure cactus group, resembles the…
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…
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…