2014/05/06 by S. M. Gusein‐Zade, I. Luengo, Gusein-Zade, S. M. +3
Mathematics · #55S15 #57S10 #Advanced Algebra and Geometry #Algebraic Topology (math.AT) #FOS: Mathematics #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology
paper · pdf · doi:10.48550/arxiv.1405.1237
openalex publication_date 2014/05/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We generalize the notions of the orbifold Euler characteristic and of the higher order orbifold Euler characteristics to spaces with actions of a compact Lie group. This is made using the integration with respect to the Euler characteristic instead of the summation over finite sets. We show that the equation for the generating series of the k-th order orbifold Euler characteristics of the Cartesian products of the space with the wreath products actions proved by H. Tamanoi for finite group actions and by C. Farsi and Ch. Seaton for compact Lie group actions with finite isotropy subgroups holds in this case as well.