Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5499921 | Journal of Geometry and Physics | 2017 | 15 Pages |
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.
Keywords
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Carla Farsi, Christopher Seaton,