Simplicial volume via normalised cycles

DOI10.1090/proc/15201zbMath1454.55002arXiv2003.02584OpenAlexW3009690629MaRDI QIDQ5130888

Clara Löh, Marco Moraschini

Publication date: 29 October 2020

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.02584

zbMATH Keywords

simplicial volumesemi-norms on homologys-modules

Mathematics Subject Classification ID

Algebraic topology of manifolds (57N65) Chain complexes (category-theoretic aspects), dg categories (18G35) Singular homology and cohomology theory (55N10) Simplicial sets, simplicial objects (18N50) Other (co)homology theories (category-theoretic aspects) (18G90)

Cites Work

• Simplicial volume and fillings of hyperbolic manifolds
• Volume and bounded cohomology
• $\overline{Spec\mathbb Z}$ and the Gromov norm