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Integral Riemann–Roch formulae for cyclic subgroups of mapping class groups

Published online by Cambridge University Press:  01 March 2008

TOSHIYUKI AKITA  and
NARIYA KAWAZUMI
TOSHIYUKI AKITA
Affiliation:
Department of Mathematics, Hokkaido University, Sapporo 060-0810, Japan. email: akita@math.sci.hokudai.ac.jp
NARIYA KAWAZUMI
Affiliation:
Department of Mathematical Sciences, The University of Tokyo, Tokyo 153-8914, Japan. email: kawazumi@ms.u-tokyo.ac.jp
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Abstract

The first author conjectured certain relations for Morita–Mumford classes and Newton classes in the integral cohomology of mapping class groups (integral Riemann–Roch formulae). In this paper, the conjecture is verified for cyclic subgroups of mapping class groups.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 144 , Issue 2 , March 2008 , pp. 411 - 421
Copyright
Copyright © Cambridge Philosophical Society 2008

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