95 citations · 606 across the 55 of their papers we have counts for
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math.AT2009★ 3 cited
Embedded Cobordism Categories and Spaces of Manifolds
Oscar Randal-Williams
Galatius, Madsen, Tillmann and Weiss have identified the homotopy type of the classifying space of the cobordism category with objects (d-1)-dimensional manifolds embedded in R^\in…
math.AT2009
Resolutions of moduli spaces and homological stability
Oscar Randal-Williams
We describe partial semi-simplicial resolutions of moduli spaces of surfaces with tangential structure. This allows us to prove a homological stability theorem for these moduli spa…
math.AT2009★ 61 cited
Monoids of moduli spaces of manifolds
Soren Galatius, Oscar Randal-Williams
We study categories of d-dimensional cobordisms from the perspective of Tillmann and Galatius-Madsen-Tillmann-Weiss. There is a category of closed smooth (d-1)-manifolds and…