Analytic formulas for topological degree of non-smooth mappings: the odd-dimensional case
arXiv:1004.1018 · doi:10.1016/j.aim.2012.05.009
Abstract
The notion of topological degree is studied for mappings from the boundary of a relatively compact strictly pseudo-convex domain in a Stein manifold into a manifold in terms of index theory of Toeplitz operators on the Hardy space. The index formalism of non-commutative geometry is used to derive analytic integral formulas for the index of a Toeplitz operator with Hölder continuous symbol. The index formula gives an analytic formula for the degree of a Hölder continuous mapping from the boundary of a strictly pseudo-convex domain.
23 pages
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