Mathematics – Algebraic Topology
Scientific paper
1999-09-15
Russian Acad. Sci. Izvestiya: Mathematics 62 (1998), no. 3, 515-548
Mathematics
Algebraic Topology
33 pages, AMSTeX, dvi/pdf output problem corrected
Scientific paper
We obtain general formulae expressing Hirzebruch genera of a manifold with Z/p-action in terms of invariants of this action (the sets of weights of fixed points). As an illustration, we consider numerous particular cases of well-known genera, in particular, the elliptic genus. We also describe the connection with the so-called Conner-Floyd equations for the weights of fixed points.
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