Pietro Capovilla
Published 2023-06-23Version 1
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-manifolds along incompressible annuli in the boundary. Our arguments are based on new results about relative bounded cohomology and pairs of multicomplexes, which are of independent interest.
Comments: 42 pages. arXiv admin note: text overlap with arXiv:1907.10547 by other authors
Gromov's theory of multicomplexes with applications to bounded cohomology and simplicial volume
The spectrum of simplicial volume
Simplicial volume of fiber bundles with nonpositively curved fibers
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