3 papers
math.GT2025
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…
math.AT2023
Projective span of Wall manifolds
Mark Grant, Baylee Schutte
The projective span of a smooth manifold is defined to be the maximal number of linearly independent tangent line fields. We initiate a study of projective span, highlighting its r…
math.AT2018
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…