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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…
math.GT2024
Stably diffeomorphic manifolds and the realisation of modified surgery obstructions
Anthony Conway, Diarmuid Crowley, Mark Powell +1
For every we construct infinitely many -dimensional manifolds that are all stably diffeomorphic but pairwise not homotopy equivalent. Each of these manifolds has hyp…