6 citations · 9 across the 4 of their papers we have counts for
4 papers
Immersed but not embedded homology classes
Diarmuid Crowley, Mark Grant
We provide the first documented examples of immersions of closed oriented manifolds which are not homologous to embeddings, thus answering a question posed by Zhenhua Liu. In these…
Distinguishing G_2-manifolds
Diarmuid Crowley, Sebastian Goette, Johannes Nordström
In this survey, we describe invariants that can be used to distinguish connected components of the moduli space of holonomy G_2 metrics on a closed 7-manifold, or to distinguish G_…
The Topological Period-Index Conjecture for spin 6-manifolds
Diarmuid Crowley, Mark Grant
The Topological Period-Index Conjecture is an hypothesis which relates the period and index of elements of the cohomological Brauer group of a space. It was identified by Antieau a…
Embeddings of non-simply-connected 4-manifolds in 7-space. II. On the smooth classification
D. Crowley, A. Skopenkov
We work in the smooth category. Let be a closed connected orientable 4-manifold with torsion free , where . Our main result is a readily calculab…