Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4658286 | Topology and its Applications | 2015 | 10 Pages |
Abstract
If two closed G-manifolds are G-cobordant then characteristic numbers corresponding to the fixed point sets (submanifolds) of subgroups of G and to normal bundles to these sets coincide. We construct two analogues of these characteristic numbers for singular complex G-varieties where G is a finite group. They are defined as sums of certain indices of collections of 1-forms (with values in the spaces of the irreducible representations of subgroups). These indices are generalizations of the GSV-index (for isolated complete intersection singularities) and the Euler obstruction respectively.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Wolfgang Ebeling, Sabir M. Gusein-Zade,