On the universal and generalized orbifold Euler characteristics

2024/05/14 by Gusein-Zade, Sabir M., Luengo, Ignacio, Melle-Hernández, Alejandro +1
#55M35 #57S17 #Algebraic Geometry (math.AG) #Algebraic Topology (math.AT) #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2405.08426

Abstract

We discuss the universal orbifold Euler characteristic and generalized orbifold Euler characteristics corresponding to finitely generated groups A (the A-Euler characteristics). We show that the collection of all A-Euler characteristics for A of the form A'× Z (Z is the group of integers) with finite A' determine the universal orbifold Euler characteristic.

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