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 2020Show all

8 papers · 1 filter

hep-th2020★ 2 cited

Differential cohomology and topological actions in physics

Joe Davighi, Ben Gripaios, Oscar Randal-Williams

We use differential cohomology to systematically construct a large class of topological actions in physics, including Chern-Simons terms, Wess-Zumino-Novikov-Witten terms, and thet…

math.AT2020★ 2 cited

On automorphisms of high-dimensional solid tori

Mauricio Bustamante, Oscar Randal-Williams

We study the infinite generation in the homotopy groups of the group of diffeomorphisms of $S^{1} \times D^{2 n - 1}$ , for $2 n \geq 6$ , in a range of degrees up to $n - 2$ . Our analysis r…

cond-mat.str-el2020

Quantization of Chern-Simons topological invariants for H-type and L-type quantum systems

Oscar Randal-Williams, Lokman Tsui, Xiao-Gang Wen

In 2+1-dimensions (2+1D), a gapped quantum phase with no symmetry (i.e. a topological order) can have a thermal Hall conductance $κ_{x y} = c \frac{π ^{2} k _{B}^{2}}{3 h} T$ , where the dimensi…

math.AT2020★ 6 cited

An $H P^{2}$ -bundle over $S^{4}$ with nontrivial $A^$ -genus

Manuel Krannich, Alexander Kupers, Oscar Randal-Williams

We explain the existence of a smooth $H P^{2}$ -bundle over $S^{4}$ whose total space has nontrivial $A^$ -genus. Combined with an argument going back to Hitchin, this answers a ques…

math.AT2020★ 1 cited

On diffeomorphisms of even-dimensional discs

Alexander Kupers, Oscar Randal-Williams

We determine $π_{*} (B D i f f_{\partial} (D^{2 n})) \otimes Q$ for $2 n \geq 6$ completely in degrees $* \leq 4 n - 10$ , far beyond the pseudoisotopy stable range. Furthermore, above th…

math.AT2020

Framings of $W_{g, 1}$

Alexander Kupers, Oscar Randal-Williams

We compute the set of framings of $W_{g, 1} = D^{2 n} # (S^{n} \times S^{n})^{# g}$ , up to homotopy and diffeomorphism relative to the boundary.

math.AT2020

Tautological rings and stabilisation

Oscar Randal-Williams

We construct a ring homomorphism comparing the tautological ring, fixing a point, of a closed smooth manifold with that of its stabilisation by $S^{2 a} \times S^{2 b}$ .

math.AT2020

$E_{\infty}$ -cells and general linear groups of infinite fields

Soren Galatius, Alexander Kupers, Oscar Randal-Williams

We study the general linear groups of infinite fields (or more generally connected semi-local rings with infinite residue fields) from the perspective of $E_{\infty}$ -algebras. We pr…

Differential cohomology and topological actions in physics

On automorphisms of high-dimensional solid tori

Quantization of Chern-Simons topological invariants for H-type and L-type quantum systems

An HP2-bundle over S4 with nontrivial A^-genus

On diffeomorphisms of even-dimensional discs

Framings of Wg,1​

Tautological rings and stabilisation

E∞​-cells and general linear groups of infinite fields

An $H P^{2}$ -bundle over $S^{4}$ with nontrivial $A^$ -genus

Framings of $W_{g, 1}$

$E_{\infty}$ -cells and general linear groups of infinite fields