O. Randal-Williams

activity

20072026

most citedHomological stability for moduli spaces of high dimensional manifolds. I

95 citations · 606 across the 55 of their papers we have counts for

collaborators

Showing 2016Show all

4 papers · 1 filter

math.AT2016

Some phenomena in tautological rings of manifolds

Oscar Randal-Williams

We prove several basic ring-theoretic results about tautological rings of manifolds W, that is, the rings of generalised Miller--Morita--Mumford classes for fibre bundles with fibr…

hep-th2016

Topology of the Electroweak Vacua

Ben Gripaios, Oscar Randal-Williams

In the Standard Model, the electroweak symmetry is broken by a complex, $S U (2)$ -doublet Higgs field and the vacuum manifold $S U (2) \times U (1) / U (1)$ has the topology of a 3-sphere.…

math.AT2016

Cohomology of automorphism groups of free groups with twisted coefficients

Oscar Randal-Williams

We compute the groups $H^{*} (Aut (F_{n}); M)$ and $H^{*} (Out (F_{n}); M)$ in a stable range, where $M$ is obtained by applying a Schur functor to $H_{Q}$ or $H^*_\ma…

math.AT2016

Homological stability for moduli spaces of high dimensional manifolds. II

Soren Galatius, Oscar Randal-Williams

We prove a homological stability theorem for moduli spaces of manifolds of dimension $2 n$ , for attaching handles of index at least $n$ , after these manifolds have been stabilised b…