D. Crowley

activity

19972022

most citedNew invariants of G_2-structures

41 citations · 300 across the 34 of their papers we have counts for

collaborators

40 papers

math.GT2022★ 2 cited

Infinite homotopy stable class for 4-manifolds with boundary

Anthony Conway, Diarmuid Crowley, Mark Powell

We show that for every odd prime $q$ , there exists an infinite family ${M_{i}}_{i = 1}^{\infty}$ of topological 4-manifolds that are all stably homeomorphic to one another, all the m…

math.GT2022★ 1 cited

Turning vector bundles

Diarmuid Crowley, Csaba Nagy, Blake Sims +1

We define a turning of a rank- $2 k$ vector bundle $E \to B$ to be a homotopy of bundle automorphisms $ψ_{t}$ from $I d_{E}$ , the identity of $E$ , to $- I d_{E}$ , minus the…

math.GT2021

Simply-connected manifolds with large homotopy stable classes

Anthony Conway, Diarmuid Crowley, Mark Powell +1

For every $k \geq 2$ and $n \geq 2$ we construct $n$ pairwise homotopically inequivalent simply-connected, closed $4 k$ -dimensional manifolds, all of which are stably diffeomorphic…

math.GT2021★ 2 cited

Stably diffeomorphic manifolds and the realisation of modified surgery obstructions

Anthony Conway, Diarmuid Crowley, Mark Powell +1

For every $k \geq 2$ we construct infinitely many $4 k$ -dimensional manifolds that are all stably diffeomorphic but pairwise not homotopy equivalent. Each of these manifolds has hyp…

math.GT2021★ 2 cited

Contact open books with flexible pages

Jonathan Bowden, Diarmuid Crowley

We give an elementary topological obstruction for a manifold $M$ of dimension $2 q + 1 \geq 7$ to admit a contact open book with flexible Weinstein pages and $c_{1} (π_{2} (M)) = 0$ : if t…

math.AT2021★ 1 cited

On $H^{*} (B P U_{n}; Z)$ and Weyl group invariants

Diarmuid Crowley, Xing Gu

For the projective unitary group $P U_{n}$ with a maximal torus $T_{P U_{n}}$ and Weyl group $W$ , we show that the integral restriction homomorphism \[ρ_{PU_n} \colon H^*(BPU_n;\mathbb{Z…