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Generalized Orbifold Euler Characteristic of Symmetric Products and Equivariant Morava K-Theory

Hirotaka Tamanoi
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Abstract

We introduce the notion of generalized orbifold Euler characteristic associated to an arbitrary group, and study its properties. We then calculate generating functions of higher order (p-primary) orbifold Euler characteristic of symmetric products of a G-manifold M. As a corollary, we obtain a formula for the number of conjugacy classes of d-tuples of mutually commuting elements (of order powers of p) in the wreath product G wreath S_n in terms of corresponding numbers of G. As a topological application, we present generating functions of Euler characteristic of equivariant Morava K-theories of symmetric products of a G-manifold M.

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Hirotaka Tamanoi. 2001-03-27. Generalized Orbifold Euler Characteristic of Symmetric Products and Equivariant Morava K-Theory. https://doi.org/10.2140/agt.2001.1.115

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