Simplicial volume via normalised cycles
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- by Clara Löh and Marco Moraschini PDF
- Proc. Amer. Math. Soc. 148 (2020), 5437-5440 Request permission
Abstract:
We show that the Connes-Consani semi-norm on singular homology with real coefficients, defined via s-modules, coincides with the ordinary $\ell ^1$-semi-norm on singular homology in all dimensions.References
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- Michael Gromov, Volume and bounded cohomology, Inst. Hautes Études Sci. Publ. Math. 56 (1982), 5–99 (1983). MR 686042
Additional Information
- Clara Löh
- Affiliation: Fakultät für Mathematik, Universität Regensburg, Regensburg, Germany
- MR Author ID: 780073
- ORCID: 0000-0003-0228-2585
- Email: clara.loeh@ur.de
- Marco Moraschini
- Affiliation: Fakultät für Mathematik, Universität Regensburg, Regensburg, Germany
- MR Author ID: 1143899
- ORCID: 0000-0003-2692-6584
- Email: marco.moraschini@ur.de
- Received by editor(s): March 11, 2020
- Published electronically: September 11, 2020
- Additional Notes: This work was supported by the CRC 1085 Higher Invariants (Universität Regensburg, funded by the DFG)
- Communicated by: Julia Bergner
- © Copyright 2020 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 148 (2020), 5437-5440
- MSC (2020): Primary 55N10, 57N65, 18N50, 18G35, 18G90
- DOI: https://doi.org/10.1090/proc/15201
- MathSciNet review: 4163854