Geometric Residue Theorems for Bundle Maps

Details Geometric Residue Theorems for Bundle Maps Geometric Residue Theorems for Bundle Maps

1997-02-19

arxiv.org/abs/dg-ga/9702017v1

Mathematics

Differential Geometry

25 pages

Scientific paper

In this paper we prove geometric residue theorems for bundle maps over a compact manifold. The theory developed associates residues to the singularity submanifolds of the map for any invariant polynomial. The theory is then applied to a variety of settings: smooth maps between equidimensional manifolds, CR-singularities, finite singularities and singularities of odd forms as spinor bundle maps.

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