Functional equations for orbifold wreath products

Details Functional equations for orbifold wreath products Functional equations for orbifold wreath products

2010-07-14

arxiv.org/abs/1007.2402v3

Mathematics

Algebraic Topology

Revised version, fixed typos and corrected errors in Section 4

Scientific paper

We present generating functions for extensions of multiplicative invariants of wreath symmetric products of orbifolds presented as the quotient by the locally free action of a compact, connected Lie group in terms of orbifold sector decompositions. Particularly interesting instances of these product formulas occur for the Euler and Euler--Satake characteristics. This generalizes results known for global quotients by finite groups to all closed, effective orbifolds.

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