6 citations · 6 across the 5 of their papers we have counts for
5 papers
On Realisability of Twisted Homology
Mark Grant, Michael Jung, Baylee Schutte
We discuss the question of when a homology or cohomology class with twisted integer coefficients of a manifold is realised by a submanifold. While this question is classical in…
Secondary cohomology operations and sectional category
Mark Grant
We show how secondary cohomology operations in the total space of the fibred join can be used to give lower bounds for the sectional category of a fibration. This suggests a refine…
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…
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…
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…