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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.AT2026
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…