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math.AT2026
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…
math.AT2024
Complex line fields on almost-complex manifolds
Nikola Sadovek, Baylee Schutte
We study linearly independent complex line fields on almost-complex manifolds, which is a topic of long-standing interest in differential topology and complex geometry. A necessary…
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…