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Transfers of Chern classes in BP-cohomology and Chow rings


Authors: Björn Schuster and Nobuaki Yagita
Journal: Trans. Amer. Math. Soc. 353 (2001), 1039-1054
MSC (2000): Primary 55P35, 57T25; Secondary 55R35, 57T05
DOI: https://doi.org/10.1090/S0002-9947-00-02647-7
Published electronically: August 8, 2000
MathSciNet review: 1804412
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Abstract:

The $BP^*$-module structure of $BP^*(BG)$ for extraspecial $2$-groups is studied using transfer and Chern classes. These give rise to $p$-torsion elements in the kernel of the cycle map from the Chow ring to ordinary cohomology first obtained by Totaro.


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Additional Information

Björn Schuster
Affiliation: FB 7 Mathematik, Bergische Universität-Gesamthochschule Wuppertal, 42097 Wuppertal, Germany
Email: schuster@math.uni-wuppertal.de

Nobuaki Yagita
Affiliation: Department of Mathematics, Faculty of Education, Ibaraki University, Mito, Ibaraki, Japan
Email: yagita@mito.ipc.ibaraki.ac.jp

DOI: https://doi.org/10.1090/S0002-9947-00-02647-7
Keywords: BP-theory, transfer, Chern classes, Chow ring
Received by editor(s): March 29, 1999
Published electronically: August 8, 2000
Article copyright: © Copyright 2000 American Mathematical Society

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