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A geometric description of the Atiyah-Hirzebruch spectral sequence for B-bordism.

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Τίτλος: A geometric description of the Atiyah-Hirzebruch spectral sequence for B-bordism.
Συγγραφείς: Tene, Haggai1 tene@mathi.uni-heidelberg.de
Πηγή: Münster Journal of Mathematics. 2017, Vol. 10 Issue 1, p171-188. 18p.
Θεματικοί όροι: *Spectral sequences (Mathematics), *Homology theory, *Manifolds (Mathematics), *Milnor fibration, *Homomorphisms
Περίληψη: 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 B 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. [ABSTRACT FROM AUTHOR]
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  Data: A geometric description of the Atiyah-Hirzebruch spectral sequence for B-bordism.
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  Data: <searchLink fieldCode="AR" term="%22Tene%2C+Haggai%22">Tene, Haggai</searchLink><relatesTo>1</relatesTo><i> tene@mathi.uni-heidelberg.de</i>
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  Data: <searchLink fieldCode="JN" term="%22Münster+Journal+of+Mathematics%22">Münster Journal of Mathematics</searchLink>. 2017, Vol. 10 Issue 1, p171-188. 18p.
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  Data: *<searchLink fieldCode="DE" term="%22Spectral+sequences+%28Mathematics%29%22">Spectral sequences (Mathematics)</searchLink><br />*<searchLink fieldCode="DE" term="%22Homology+theory%22">Homology theory</searchLink><br />*<searchLink fieldCode="DE" term="%22Manifolds+%28Mathematics%29%22">Manifolds (Mathematics)</searchLink><br />*<searchLink fieldCode="DE" term="%22Milnor+fibration%22">Milnor fibration</searchLink><br />*<searchLink fieldCode="DE" term="%22Homomorphisms%22">Homomorphisms</searchLink>
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  Data: 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 B 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. [ABSTRACT FROM AUTHOR]
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        Value: 10.17879/33249448454
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      – Code: eng
        Text: English
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        PageCount: 18
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    Subjects:
      – SubjectFull: Spectral sequences (Mathematics)
        Type: general
      – SubjectFull: Homology theory
        Type: general
      – SubjectFull: Manifolds (Mathematics)
        Type: general
      – SubjectFull: Milnor fibration
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      – SubjectFull: Homomorphisms
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              Text: 2017
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