41 citations · 300 across the 34 of their papers we have counts for
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math.GT2012★ 41 cited
New invariants of G_2-structures
Diarmuid Crowley, Johannes Nordström
We define a Z/48-valued homotopy invariant nu of a G_2-structure on the tangent bundle of a closed 7-manifold in terms of the signature and Euler characteristic of a coboundary wit…
math.GT2012★ 24 cited
The Gromoll filtration, KO-characteristic classes and metrics of positive scalar curvature
Diarmuid Crowley, Thomas Schick
Let X be a closed m-dimensional spin manifold which admits a metric of positive scalar curvature and let Pos(X) be the space of all such metrics. For any g in Pos(X), Hitchin used…