Equivariant Poincar\'e series and monodromy zeta functions of quasihomogeneous polynomials

Abstract

In earlier work, the authors described a relation between the Poincar\'e 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.