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2019 Formal barycenter spaces with weights: the Euler characteristic
Sadok Kallel
Topol. Methods Nonlinear Anal. 53(2): 801-823 (2019). DOI: 10.12775/TMNA.2019.019

Abstract

We compute the Euler characteristic with compact supports $\chi_c$ of the formal barycenter spaces with weights of some locally compact spaces, connected or not. This reduces to the topological Euler characteristic $\chi$ when the weights of the singular points are less than one. As foresighted by Andrea Malchiodi, our formula is related to the Leray-Schauder degree for mean field equations on a compact Riemann surface obtained by C.C. Chen and C.S. Lin.

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Sadok Kallel. "Formal barycenter spaces with weights: the Euler characteristic." Topol. Methods Nonlinear Anal. 53 (2) 801 - 823, 2019. https://doi.org/10.12775/TMNA.2019.019

Information

Published: 2019
First available in Project Euclid: 2 April 2019

zbMATH: 07130720
MathSciNet: MR3983995
Digital Object Identifier: 10.12775/TMNA.2019.019

Rights: Copyright © 2019 Juliusz P. Schauder Centre for Nonlinear Studies

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Vol.53 • No. 2 • 2019
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