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math.DG2023
The signature of geometrically decomposable aspherical 4-manifolds
Luca Fabrizio Di Cerbo, Marco Golla
We construct examples of geometrically decomposable aspherical 4-manifolds with non-zero signature. We show that all such 4-manifolds satisfy the inequality (of Bogomolov--Miyaoka-…
math.GT2023
Multisections of higher-dimensional manifolds
Fathi Ben Aribi, Sylvain Courte, Marco Golla +1
Generalizing Heegaard splittings of 3-manifolds and trisections of 4-manifolds, we consider multisections of higher-dimensional smooth (or PL) closed orientable manifolds, namely d…