Diarmuid Crowley

collaborators

2 papers

math.GT2026

The Witt groups of extended quadratic forms over Z

Diarmuid Crowley, Csaba Nagy

We study quadratic form parameters $Q$ over the integers and extended quadratic forms with values in $Q$ , which we call $Q$ -forms. Certain form parameters $Q$ appeared in Wall's wo…

math.GT2025

Path components of $G_{2}$ -moduli spaces may be non-aspherical

Diarmuid Crowley, Sebastian Goette, Thorsten Hertl

Starting from Joyce's generalised Kummer construction, we exhibit non-trivial families of $G_{2}$ -manifolds over the two dimensional sphere by resolving singularities with a…

The Witt groups of extended quadratic forms over Z

Path components of G2​-moduli spaces may be non-aspherical

Path components of $G_{2}$ -moduli spaces may be non-aspherical