A geometric description of the Atiyah–Hirzebruch spectral sequence for B-bordism
In this paper we give a geometric description of the general term and the differential of the Atiyah–Hirzebruch spectral sequence for B-bordism. This description is given in terms of bordism classes of maps from stratifolds. We illustrate that with a computational example. We also discuss the case o...
| Verfasser: | |
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| Dokumenttypen: | Artikel |
| Medientypen: | Text |
| Erscheinungsdatum: | 2017 |
| Publikation in MIAMI: | 01.03.2017 |
| Datum der letzten Änderung: | 16.04.2019 |
| Quelle: | Münster Journal of Mathematics, 10 (2017), S. 171-188 |
| Verlag/Hrsg.: |
Mathematisches Institut (Universität Münster)
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| Angaben zur Ausgabe: | [Electronic ed.] |
| Fachgebiet (DDC): | 510: Mathematik |
| Lizenz: | InC 1.0 |
| Sprache: | English |
| Format: | PDF-Dokument |
| URN: | urn:nbn:de:hbz:6-33249448768 |
| Weitere Identifikatoren: | DOI: 10.17879/33249448454 |
| Permalink: | https://nbn-resolving.de/urn:nbn:de:hbz:6-33249448768 |
| Onlinezugriff: | mjm_2017_10_171-188.pdf |
In this paper we give a geometric description of the general term and the differential of the Atiyah–Hirzebruch spectral sequence for B-bordism. This description is given in terms of bordism classes of maps from stratifolds. We illustrate that with a computational example. We also discuss the case of a general homology theory, where this description is given in terms of the Postnikov sections of the given theory.