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math.GT2023
On the universal pairing for 2-complexes
Mikhail Khovanov, Vyacheslav Krushkal, John Nicholson
The universal pairing for manifolds was defined and shown to lack positivity in dimension 4 by Freedman et al. We prove an analogous result for 2-complexes, and also show that the…
math.AT2023
Simple homotopy types of even dimensional manifolds
Csaba Nagy, John Nicholson, Mark Powell
Given a closed -manifold, we consider the set of simple homotopy types of -manifolds within its homotopy type, called its simple homotopy manifold set. We characterise it in…