Diarmuid Crowley

Exotic G(2)-manifolds

Diarmuid Crowley, Johannes Nordstrom

Journal article  |  2020  |  Mathematische Annalen

The rational homotopy type of (n-1)-connected manifolds of dimension up to 5n-3

Diarmuid Crowley, Johannes Nordstrom

Journal article  |  2020  |  Journal of Topology

Distinguishing G2-Manifolds

Diarmuid Crowley, Sebastian Goette, Johannes Nordström

Book Chapter  |  2020

This book, one of the first on G2 manifolds in decades, collects introductory lectures and survey articles largely based on talks ..

The Topological Period-Index Conjecture for spin(c) 6-manifolds

Diarmuid Crowley, Mark Grant

Journal article  |  2020  |  Annals of K-Theory

The Topological Period-Index Conjecture is a hypothesis which relates the period and index of elements of the cohomological Brauer..

The classification of 2-connected 7-manifolds

Diarmuid Crowley, Johannes Nordstroem

Journal article  |  2019  |  Proceedings of the London Mathematical Society

On the cardinality of the manifold set

Diarmuid Crowley, Tibor Macko

Journal article  |  2019  |  Geometriae Dedicata

Harmonic spinors and metrics of positive curvature via the Gromoll filtration and Toda brackets

Diarmuid Crowley, Thomas Schick, Wolfgang Steimle

Journal article  |  2018  |  Journal of Topology

The Poincare-Hopf Theorem for line fields revisited

Diarmuid Crowley, Mark Grant

Journal article  |  2017  |  Journal of Geometry and Physics

POSITIVE RICCI CURVATURE ON HIGHLY CONNECTED MANIFOLDS

Diarmuid Crowley, David J Wraith

Journal article  |  2017  |  Journal of Differential Geometry

Finite group actions on Kervaire manifolds

Diarmuid Crowley, Ian Hambleton

Journal article  |  2015  |  Advances in Mathematics