By Ulrich Bunke
This paper units up a language to house Dirac operators on manifolds with corners of arbitrary co-dimension. specifically the writer develops an actual idea of boundary discount rates. the writer introduces the concept of a taming of a Dirac operator as an invertible perturbation via a smoothing operator. Given a Dirac operator on a manifold with boundary faces the writer makes use of the tamings of its boundary rate reductions with a view to flip the operator right into a Fredholm operator. Its index is an obstruction opposed to extending the taming from the boundary to the inner. during this means he develops an inductive method to affiliate Fredholm operators to Dirac operators on manifolds with corners and develops the linked obstruction idea.
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