On the (super)additivity of simplicial volume
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2023
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866910494766399488 |
|---|---|
| author | Capovilla, Pietro |
| author_facet | Capovilla, Pietro |
| contents | 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 in the case of aspherical manifolds. Our arguments are based on new results about relative bounded cohomology and pairs of multicomplexes, which are of independent interest. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_13342 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the (super)additivity of simplicial volume Capovilla, Pietro Geometric Topology 55N10, 55U10, 57N65 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 in the case of aspherical manifolds. Our arguments are based on new results about relative bounded cohomology and pairs of multicomplexes, which are of independent interest. |
| title | On the (super)additivity of simplicial volume |
| topic | Geometric Topology 55N10, 55U10, 57N65 |
| url | https://arxiv.org/abs/2306.13342 |