We show that non-elliptic prime 3-manifolds satisfy integral approximation for the simplicial volume, that is, that their simplicial volume equals the stable integral simplicial volume. The proof makes use of integral foliated simplicial volume and tools from ergodic theory.
Fauser, D., Loh, C., Moraschini, M., Quintanilha, J.P. (2021). Stable integral simplicial volume of 3-manifolds. JOURNAL OF TOPOLOGY, 14(2), 608-640 [10.1112/topo.12193].
Stable integral simplicial volume of 3-manifolds
Moraschini M.;
2021
Abstract
We show that non-elliptic prime 3-manifolds satisfy integral approximation for the simplicial volume, that is, that their simplicial volume equals the stable integral simplicial volume. The proof makes use of integral foliated simplicial volume and tools from ergodic theory.File in questo prodotto:
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Journal of Topology - 2021 - Fauser - Stable integral simplicial volume of 3‐manifolds.pdf
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