Generalized orbifold Euler characteristic of symmetric products and equivariant Morava K-theory

By Hirotaka Tamanoi. 2001

50 citations recorded by the source corpus.

We introduce the notion of generalized orbifold Euler charac- teristic 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 mu- tually commuting elements (of order powers of p) in the wreath product GoSn in terms of corresponding numbers of G. As a topological applica- tion, we present generating functions of Euler characteristic of equivariant Morava K-theories of symmetric products of a G-manifold M. AMS Classication 55N20, 55N91; 57S17, 57D15, 20E22, 37F20, 05A15

Subfields: Discrete Mathematics and Combinatorics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/177da2f000189bc4117bb9915b56cdba983e9dca