95 citations · 606 across the 55 of their papers we have counts for
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math.AT2012★ 2 cited
The space of immersed surfaces in a manifold
Oscar Randal-Williams
We study the cohomology of the space of immersed genus g surfaces in a simply-connected manifold. We compute the rational cohomology of this space in a stable range which goes to i…
math.AT2012★ 22 cited
Homological stability for moduli spaces of high dimensional manifolds
Soren Galatius, Oscar Randal-Williams
We prove a homological stability theorem for the moduli spaces of manifolds diffeomorphic to g(S^n x S^n), provided n > 2. This generalises Harer's stability theorem for the homolo…
math.AT2012★ 2 cited
Stable moduli spaces of high dimensional manifolds
Soren Galatius, Oscar Randal-Williams
We prove an analogue of the Madsen-Weiss theorem for high dimensional manifolds. For example, we explicitly describe the ring of characteristic classes of smooth fibre bundles whos…