95 citations · 606 across the 55 of their papers we have counts for
4 papers · 1 filter
The stable cohomology of automorphisms of free groups with coefficients in the homology representation
Oscar Randal-Williams
We study the cohomology of Aut(F_n) and Out(F_n) with coefficients in the modules \wedge^q H, \wedge H^*, Sym^q H or Sym^q H^*, where H is the Out(F_n)-module obtained by abelianis…
Relations among tautological classes revisited
Oscar Randal-Williams
We give a simple generalisation of a theorem of Morita, which leads to a great number of relations among tautological classes on moduli spaces of curves.
Stable cohomology of the universal Picard varieties and the extended mapping class group
Johannes Ebert, Oscar Randal-Williams
We study the moduli spaces which classify smooth surfaces along with a complex line bundle. There are homological stability and Madsen--Weiss type results for these spaces (mostly…
Homology of the moduli spaces and mapping class groups of framed, r-Spin and Pin surfaces
Oscar Randal-Williams
We give definitions of moduli spaces of framed, r-Spin and Pin surfaces. We apply earlier work of the author to show that each of these moduli spaces exhibits homological stability…