m at h . D G ] 3 1 Ju l 2 00 3 PERTURBATIONS OF DIRAC OPERATORS
نویسنده
چکیده
We study the most general conditions under which the computations of the index of a perturbed Dirac operator Ds = D + sZ localize to the singular set of the zeroth order operator Z in the semi-classical limit s → ∞. We use Witten’s method to compute the index of D by doing a combinatorial computation involving local data at the nondegenerate singular points of the operator Z. The paper contains a list of the current literature on the subject.
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ar X iv : m at h / 03 07 25 1 v 1 [ m at h . D G ] 1 7 Ju l 2 00 3 PERTURBATIONS OF DIRAC OPERATORS
We study the most general conditions under which the computations of the index of a perturbed Dirac operator Ds = D + sZ localize to the singular set of the zeroth order operator Z in the semi-classical limit s → ∞. We use Witten’s method to compute the index of D by doing a combinatorial computation involving local data at the nondegenerate singular points of the operator Z. The paper contains...
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