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math.AT2021★ 5 cited
On the simplicial volume and the Euler characteristic of (aspherical) manifolds
Clara Loeh, Marco Moraschini, George Raptis
A well-known question by Gromov asks whether the vanishing of the simplicial volume of oriented closed connected aspherical manifolds implies the vanishing of the Euler characteris…
math.AT2020★ 8 cited
Amenable category and complexity
Pietro Capovilla, Clara Loeh, Marco Moraschini
Amenable category is a variant of the Lusternik-Schnirelman category, based on covers by amenable open subsets. We study the monotonicity problem for degree-one maps and amenable c…
math.AT2020
Simplicial volume via normalised cycles
Clara Loeh, Marco Moraschini
We show that the Connes-Consani semi-norm on singular homology with real coefficients, defined via s-modules, coincides with the ordinary -semi-norm on singular homology in…