Fauser, Daniel 
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| Dokumentenart: | Artikel |
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| Titel eines Journals oder einer Zeitschrift: | Forum Mathematicum |
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| Verlag: | WALTER DE GRUYTER GMBH |
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| Ort der Veröffentlichung: | BERLIN |
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| Band: | 33 |
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| Nummer des Zeitschriftenheftes oder des Kapitels: | 3 |
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| Seitenbereich: | S. 773-788 |
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| Datum: | 2021 |
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| Institutionen: | Mathematik |
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| Identifikationsnummer: | | Wert | Typ |
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| 10.1515/forum-2020-0079 | DOI |
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| Stichwörter / Keywords: | RANK GRADIENT; COST; Simplicial volume; S-1-action; uniform boundary condition |
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| Dewey-Dezimal-Klassifikation: | 500 Naturwissenschaften und Mathematik > 510 Mathematik |
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| Status: | Veröffentlicht |
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| Begutachtet: | Ja, diese Version wurde begutachtet |
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| An der Universität Regensburg entstanden: | Ja |
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| Dokumenten-ID: | 55692 |
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Zusammenfassung
The simplicial volume of oriented closed connected smooth manifolds that admit a non-trivial smooth S-1-action vanishes. In the present work, we prove a version of this result for the integral foliated simplicial volume of aspherical manifolds: The integral foliated simplicial volume of aspherical oriented closed connected smooth manifolds that admit a non-trivial smooth S-1-action vanishes. Our ...
Zusammenfassung
The simplicial volume of oriented closed connected smooth manifolds that admit a non-trivial smooth S-1-action vanishes. In the present work, we prove a version of this result for the integral foliated simplicial volume of aspherical manifolds: The integral foliated simplicial volume of aspherical oriented closed connected smooth manifolds that admit a non-trivial smooth S-1-action vanishes. Our proof uses the geometric construction of Yano's proof for ordinary simplicial volume as well as the parametrized uniform boundary condition for S-1.
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