SIMPLICIAL VOLUME VIA NORMALISED CYCLES

被引：0

作者：

Loeh, Clara ^{[1
]}

Moraschini, Marco ^{[1
]}

机构：

[1] Univ Regensburg, Fak Math, Regensburg, Germany

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2020年 / 148卷 / 12期

关键词：

Simplicial volume; semi-norms on homology; s-modules;

D O I：

10.1090/proc/15201

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that the Connes-Consani semi-norm on singular homology with real coefficients, defined via s-modules, coincides with the ordinary l(1)-semi-norm on singular homology in all dimensions.

引用

页码：5437 / 5440

页数：4

共 50 条

[1] Simplicial cycles and the computation of simplicial trees
Caboara, Massimo
Faridi, Sara
Selinger, Peter
[J]. JOURNAL OF SYMBOLIC COMPUTATION, 2007, 42 (1-2) : 74 - 88
[2] The spectrum of simplicial volume
Heuer, Nicolaus
Loeh, Clara
[J]. INVENTIONES MATHEMATICAE, 2021, 223 (01) : 103 - 148
[3] The spectrum of simplicial volume
Nicolaus Heuer
Clara Löh
[J]. Inventiones mathematicae, 2021, 223 : 103 - 148
[4] Robust (Rainbow) Subdivisions and Simplicial Cycles
Tomon, István
[J]. arXiv, 2022,
[5] Minimal entropy and simplicial volume
Sambusetti, A
[J]. MANUSCRIPTA MATHEMATICA, 1999, 99 (04) : 541 - 560
[6] Minimal entropy and simplicial volume
Andrea Sambusetti
[J]. manuscripta mathematica, 1999, 99 : 541 - 560
[7] VOLUME AND CIRCUMRADIUS OF SIMPLICIAL POLYTOPES
LINHART, J
[J]. ANNALS OF THE NEW YORK ACADEMY OF SCIENCES, 1985, 440 : 97 - 105
[8] Hyperbolic convex cores and simplicial volume
Storm, Peter A.
[J]. DUKE MATHEMATICAL JOURNAL, 2007, 140 (02) : 281 - 319
[9] Ideal Simplicial Volume of Manifolds with Boundary
Frigerio, Roberto
Moraschini, Marco
[J]. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2021, 2021 (07) : 5214 - 5260
[10] Piecewise straightening and Lipschitz simplicial volume
Strzalkowski, Karol
[J]. JOURNAL OF TOPOLOGY AND ANALYSIS, 2017, 9 (01) : 167 - 193

← 1 2 3 4 5 →