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Integral cohomology and Chern classes of the special linear group over the ring of integers

Published online by Cambridge University Press:  26 November 2001

DOMINIQUE ARLETTAZ ,
CHRISTIAN AUSONI ,
MAMORU MIMURA  and
NOBUAKI YAGITA
DOMINIQUE ARLETTAZ
Affiliation:
Institut de mathématiques, Université de Lausanne, 1015 Lausanne, Switzerland. e-mail: dominique.arlettaz@ima.unil.ch
CHRISTIAN AUSONI
Affiliation:
Departement Mathematik, HG, ETH-Zentrum, 8092 Zürich, Switzerland. e-mail: ausoni@math.ethz.ch
MAMORU MIMURA
Affiliation:
Department of Mathematics, Faculty of Science, Okayama University, Okayama, Japan 700. e-mail: mimura@math.okayama-u.ac.jp
NOBUAKI YAGITA
Affiliation:
Faculty of Education, Ibaraki University, Mito, Ibaraki, Japan. e-mail: yagita@mito.ipc.ibaraki.ac.jp
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Abstract

This paper is devoted to the complete calculation of the additive structure of the 2-torsion of the integral cohomology of the infinite special linear group SL(ℤ) over the ring of integers ℤ. This enables us to determine the best upper bound for the order of the Chern classes of all integral and rational representations of discrete groups.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 131 , Issue 3 , November 2001 , pp. 445 - 457
Copyright
© 2001 Cambridge Philosophical Society

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