Description

• Title:
  Formal barycenter spaces with weights: the Euler characteristic
• Creator:
  Kallel, Sadok
• Description:
  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.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2019 Topological Methods in Nonlinear Analysis
• Date:
  2019.03.31
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 53, No 2 (June 2019); 801 - 823;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.019/17150 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2019.019/17151
• Subject:
  Euler characteristic;
  compact supports;
  Leray-Schauder degree;
  stratification;
  {55M99;
  57N80
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.019
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other