Loeh, Clara (2018) Odd manifolds of small integral simplicial volume. ARKIV FOR MATEMATIK, 56 (2). pp. 351-375. ISSN 0004-2080, 1871-2487
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Integral simplicial volume is a homotopy invariant of oriented closed connected manifolds, defined as the minimal weighted number of singular simplices needed to represent the fundamental class with integral coefficients. We show that odd-dimensional spheres are the only manifolds with integral simplicial volume equal to 1. Consequently, we obtain an elementary proof that, in general, the integral simplicial volume of (triangulated) manifolds is not computable.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ; |
| Subjects: | 600 Technology > 610 Medical sciences Medicine |
| Divisions: | Mathematics Mathematics > Prof. Dr. Clara Löh |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 20 Mar 2020 06:09 |
| Last Modified: | 20 Mar 2020 06:09 |
| URI: | https://pred.uni-regensburg.de/id/eprint/15238 |
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