Title: Generalized orbifold Euler characteristic of symmetric products
and equivariant Morava K-theory
Author: Hirotaka Tamanoi
Department of Mathematics
University of California Santa Cruz
Santa Cruz, CA 95064
Email: tamanoi@math.ucsc.edu
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~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.
AMS Classification Numbers: 55N20, 55N91, 57S17, 57D15, 20E22