Equivariant Poincaré Series and Monodromy Zeta Functions of Quasihomogeneous Polynomials

Abstract

In earlier work, the authors described a relation between the Poincaré series and the classical monodromy zeta function corresponding to a quasihomogeneous polynomial. Here we formulate an equivariant version of this relation in terms of the Burnside rings of finite abelian groups and their analogues.