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The Quarterly Journal of Mathematics Advance Access originally published online on November 12, 2007
The Quarterly Journal of Mathematics 2008 59(2):207-212; doi:10.1093/qmath/ham035
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© 2007. Published by Oxford University Press. All rights reserved. For permissions, please email: journals.permissions@oxfordjournals.org

DIVISIBILITY OF MILLER–MORITA–MUMFORD CLASSES OF SPIN SURFACE BUNDLES

Johannes Ebert

Mathematical Institute, University of Oxford, 24-29 St. Giles Street, Oxford OX1 3LB, UK

Received 11 May 2007; revised 2 July 2007
  Abstract

In this paper, we study the divisibility properties of characteristic classes of surface bundles with spin structures. It turns out that the divisibility of the characteristic classes in the non-spin case improves by a power of 2.


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