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pro vyhledávání: '"Capovilla, Pietro"'
Autor:
Capovilla, Pietro
We establish a relative version of Gromov's Vanishing Theorem in the presence of amenable open covers with small multiplicity, extending a result of Li, L\"oh, and Moraschini. Our approach relies on Gromov's theory of multicomplexes.
Comment: 16
Comment: 16
Externí odkaz:
http://arxiv.org/abs/2407.01140
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:
Capovilla, Pietro
We show that the simplicial volume is superadditive with respect to gluings along certain submanifolds of the boundary. Our criterion applies to boundary connected sums and 1-handle attachments. Moreover, we generalize a well-known additivity result
Externí odkaz:
http://arxiv.org/abs/2306.13342
Publikováno v:
Algebr. Geom. Topol. 22 (2022) 1417-1459
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 category and the relation between amenable category and topological com
Externí odkaz:
http://arxiv.org/abs/2012.00612
Akademický článek
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Autor:
Capovilla, Pietro
We show that the simplicial volume of aspherical manifolds is superadditive with respect to gluings along certain aspherical submanifolds of the boundary. As an application, we generalize to higher dimensions a result of Soma about gluings of 3-manif
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::de6407e321a37648833d7c3b65bf4874
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 category and the relation between amenable category and topological com
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::df3260657aca5d7b4d8d97c898545695
https://hdl.handle.net/11585/880053
https://hdl.handle.net/11585/880053