Indices of collections of equivariant 1-forms and characteristic numbers (Q2352130)

The authors generalize the notions of the GSV-indices (originally defined for isolated complete intersection singularities) and the Chern obstructions introduced in [\textit{W. Ebeling} and \textit{S. M. Gusein-Zade}, Bull. Lond. Math. Soc. 37, No. 5, 747--754 (2005; Zbl 1086.32025)] and [in: Singularity theory. Proceedings of the 2005 Marseille singularity school and conference, CIRM, Marseille, France, January 24--February 25, 2005. Dedicated to Jean-Paul Brasselet on his 60th birthday. Singapore: World Scientific. 557--564 (2007; Zbl 1130.32011)], respectively, to the case of singular complex \(G\)-varieties, where \(G\) is a finite group. In fact, both invariants are the characteristic numbers corresponding to the fixed point sets of subgroups of \(G\) and to normal bundles to these sets; they can be presented as sums of certain indices of collections of differential 1-forms with values in the spaces of the irreducible representations of subgroups.