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arXiv · 1007.2402

Functional equations for orbifold wreath products

Carla Farsi·Christopher Seaton
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Abstract

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, which we compute for a class of weighted projective spaces. This generalizes results known for global quotients by finite groups to all closed, effective orbifolds. We also describe a combinatorial approach to extensions of multiplicative invariants using decomposable functors that recovers the formula for the Euler--Satake characteristic of a wreath product of a global quotient orbifold.

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Carla Farsi, Christopher Seaton. 2010-07-14. Functional equations for orbifold wreath products. https://doi.org/10.1016/j.geomphys.2017.05.013

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