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of 23
pro vyhledávání: '"Milizia, Francesco"'
For any geodesic metric space $X$, we give a complete cohomological characterisation of the hyperbolicity of $X$ in terms of vanishing of its second $\ell^{\infty}$-cohomology. We extend this result to the relative setting of $X$ with a collection of
Externí odkaz:
http://arxiv.org/abs/2409.18871
Autor:
Milizia, Francesco
We study the simplicial volume of manifolds obtained from Davis' reflection group trick, the goal being characterizing those having positive simplicial volume. In particular, we focus on checking whether manifolds in this class with nonzero Euler cha
Externí odkaz:
http://arxiv.org/abs/2409.08336
Autor:
Milizia, Francesco
Given a group $G$ acting cocompactly on a smooth manifold $M$ by deck transformations, there is an integration map, defined recently by Kato, Kishimoto and Tsutaya, from the top-degree bounded de Rham cohomology of $M$ to the coinvariants $\ell^\inft
Externí odkaz:
http://arxiv.org/abs/2311.07731
We study the action of the mapping class group on the subspace of de Rham classes in the degree-two bounded cohomology of a hyperbolic surface. In particular, we show that the only fixed nontrivial finite-dimensional subspace is the one generated by
Externí odkaz:
http://arxiv.org/abs/2311.07728
Autor:
Ascari, Dario, Milizia, Francesco
Publikováno v:
Geom. Funct. Anal. 34 (2024), 631-658
We exhibit a finitely presented group whose second cohomology contains a weakly bounded, but not bounded, class. As an application, we disprove a long-standing conjecture of Gromov about bounded primitives of differential forms on universal covers of
Externí odkaz:
http://arxiv.org/abs/2207.03972
Autor:
Milizia, Francesco
We revisit Gersten's $\ell^\infty$-cohomology of groups and spaces, removing the finiteness assumptions required by the original definition while retaining its geometric nature. Mirroring the corresponding results in bounded cohomology, we provide a
Externí odkaz:
http://arxiv.org/abs/2107.09089
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Akademický článek
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Autor:
Milizia, Francesco
We revisit Gersten's $\ell^\infty$-cohomology of groups and spaces, removing the finiteness assumptions required by the original definition while retaining its geometric nature. Mirroring the corresponding results in bounded cohomology, we provide a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d6e3e4b51fd9ea3b018294f267fe3a8b