Raptis, George ; Steimle, Wolfgang
Alternative Links zum Volltext:DOIVerlag
| Dokumentenart: | Artikel |
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| Titel eines Journals oder einer Zeitschrift: | Journal of Topology |
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| Verlag: | Wiley |
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| Ort der Veröffentlichung: | HOBOKEN |
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| Band: | 10 |
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| Nummer des Zeitschriftenheftes oder des Kapitels: | 3 |
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| Seitenbereich: | S. 700-719 |
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| Datum: | 2017 |
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| Institutionen: | Mathematik > Prof. Dr. Ulrich Bunke |
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| Identifikationsnummer: | | Wert | Typ |
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| 10.1112/topo.12019 | DOI |
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| Stichwörter / Keywords: | ALGEBRAIC K-THEORY; MAP; |
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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: | 39244 |
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Zusammenfassung
We define parametrized cobordism categories and study their formal properties as bivariant theories. Bivariant transformations to a strongly excisive bivariant theory give rise to characteristic classes of smooth bundles with strong additivity properties. In the case of cobordisms between manifolds with boundary, we prove that such a bivariant transformation is uniquely determined by its value at ...
Zusammenfassung
We define parametrized cobordism categories and study their formal properties as bivariant theories. Bivariant transformations to a strongly excisive bivariant theory give rise to characteristic classes of smooth bundles with strong additivity properties. In the case of cobordisms between manifolds with boundary, we prove that such a bivariant transformation is uniquely determined by its value at the universal disk bundle. This description of bivariant transformations yields a short proof of the Dwyer-Weiss-Williams family index theorem for the parametrized A-theory Euler characteristic of a smooth bundle.
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