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Calculation of Hirzebruch genera for manifolds acted on by the group Z/p via invariants of the action

Taras E. Panov
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Abstract

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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BibTeXRIS

Taras E. Panov. 2005-12-29. Calculation of Hirzebruch genera for manifolds acted on by the group Z/p via invariants of the action. https://arxiv.org/abs/math/9909081

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