3 papers
math.AT2025
On and Weyl group invariants
Diarmuid Crowley, Xing Gu
For the projective unitary group with a maximal torus and Weyl group , we show that the integral restriction homomorphism \[Ï_{PU_n} \colon H^*(BPU_n;\mathbb{…
math.GT2025
The smooth classification of 4-dimensional complete intersections
Diarmuid Crowley, Csaba Nagy
We prove the "Sullivan Conjecture" on the classification of 4-dimensional complete intersections up to diffeomorphism. Here an -dimensional complete intersection is a smooth com…
math.GT2024
An analytic invariant of G_2 manifolds
Diarmuid Crowley, Sebastian Goette, Johannes Nordström
We prove that the moduli space of holonomy G_2-metrics on a closed 7-manifold is in general disconnected by presenting a number of explicit examples. We detect different connected…