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Geometric Residue Theorems for Bundle Maps

dg-ga 2008-02-03 v1 Differential Geometry

Abstract

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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Cite

@article{arxiv.dg-ga/9702017,
  title  = {Geometric Residue Theorems for Bundle Maps},
  author = {Sunil Nair},
  journal= {arXiv preprint arXiv:dg-ga/9702017},
  year   = {2008}
}

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25 pages