Kodai Mathematical Journal
Online ISSN : 1881-5472
Print ISSN : 0386-5991
ISSN-L : 0386-5991
Riemann-Hurwitz formula for Morita-Mumford classes and surface symmetries
Nariya KawazumiTakeshi Uemura
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1998 年 21 巻 3 号 p. 372-380

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Let a finite group G act on a compact Riemann surface C in a faithful and orientation preserving way. Then we describe the Morita-Mumford classes en(CG)∈H2n(G; Z) of the homotopy quotient (or the Borel construction) CG of the action in terms of fixed-point data. This fixed-point formula is deduced from a higher analogue of the classical Riemann-Hurwitz formula based on computations of Miller [Mi] and Morita [Mo].
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© Department of Mathematics, Tokyo Institute of Technology
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