RT Journal Article T1 Higher-order orbifold Euler characteristics for compact Lie group actions A1 Gusein-Zade, Sabir Medgidovich A1 Luengo Velasco, Ignacio A1 Melle Hernández, Alejandro AB 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 using 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 kth-order orbifold Euler characteristics of the Cartesian products of the space with the wreath products actions proved by Tamanoi for finite group actions and by Farsi and Seaton for compact Lie group actions with finite isotropy subgroups holds in this case as well PB Cambridge University Press SN 0308-2105 YR 2015 FD 2015-12 LK https://hdl.handle.net/20.500.14352/24292 UL https://hdl.handle.net/20.500.14352/24292 LA eng NO Russian Foundation for Basic Research NO President Grant for State Support of Leading Scientific Schools NO Ministerio de ciencia y Tecnología (España) DS Docta Complutense RD 10 may 2025