346 citations · 1.2k across the 23 of their papers we have counts for
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math.RT2010★ 210 cited
Representation theory and homological stability
Thomas Church, Benson Farb
We introduce the idea of *representation stability* (and several variations) for a sequence of representations V_n of groups G_n. A central application of the new viewpoint we intr…
math.GT2010★ 11 cited
Parametrized Abel-Jacobi maps and abelian cycles in the Torelli group
Thomas Church, Benson Farb
Let I_g,* denote the (pointed) Torelli group. This is the group of homotopy classes of homeomorphisms of the genus g >= 2 surface S_g with a marked point, acting trivially on H :=…