On the universal and generalized orbifold Euler characteristics

Fuente: arXiv
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Autori principali: Gusein-Zade, Sabir M., Luengo, Ignacio, Melle-Hernández, Alejandro, Viruel, Antonio
Natura: Preprint
Pubblicazione: 2024
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author Gusein-Zade, Sabir M.
Luengo, Ignacio
Melle-Hernández, Alejandro
Viruel, Antonio
author_facet Gusein-Zade, Sabir M.
Luengo, Ignacio
Melle-Hernández, Alejandro
Viruel, Antonio
contents 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 $A'\times Z$ ($Z$ is the group of integers) with finite $A'$ determine the universal orbifold Euler characteristic.
format Preprint
id arxiv_https___arxiv_org_abs_2405_08426
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle On the universal and generalized orbifold Euler characteristics
Gusein-Zade, Sabir M.
Luengo, Ignacio
Melle-Hernández, Alejandro
Viruel, Antonio
Algebraic Geometry
Algebraic Topology
Group Theory
57S17, 55M35
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 $A'\times Z$ ($Z$ is the group of integers) with finite $A'$ determine the universal orbifold Euler characteristic.
title On the universal and generalized orbifold Euler characteristics
topic Algebraic Geometry
Algebraic Topology
Group Theory
57S17, 55M35
url https://arxiv.org/abs/2405.08426