105 citations · 705 across the 54 of their papers we have counts for
4 papers · 1 filter
On the top dimensional cohomology groups of congruence subgroups of
Jeremy Miller, Peter Patzt, Andrew Putman
Let be the level- principal congruence subgroup of . Borel-Serre proved that the cohomology of vanishes above degree . W…
The dualizing module and top-dimensional cohomology group of
Andrew Putman, Daniel Studenmund
For a number ring , Borel and Serre proved that is a virtual duality group whose dualizing module is the Steinberg module. They also proved…
The codimension-one cohomology of SL_n Z
Thomas Church, Andrew Putman
We prove that H^{d-1}(SL_n Z; Q) = 0, where d = n-choose-2 is the cohomological dimension of SL_n Z, and similarly for GL_n Z. We also prove analogous vanishing theorems for cohomo…
Integrality in the Steinberg module and the top-dimensional cohomology of SL_n(O_K)
Thomas Church, Benson Farb, Andrew Putman
We prove a new structural result for the spherical Tits building attached to SL_n(K) for many number fields K, and more generally for the fraction fields of many Dedekind domains O…