Analytic formulas for topological degree of non-smooth mappings: the even-dimensional case
K-Theory and Homology
2013-07-03 v2 Differential Geometry
Abstract
Topological degrees of continuous mappings between manifolds of even dimension are studied in terms of index theory of pseudo-differential operators. The index formalism of non-commutative geometry is used to derive analytic integral formulas for the index of a 0:th order pseudo-differential operator twisted by a H\"older continuous vector bundle. The index formula gives an analytic formula for the degree of a H\"older continuous mapping between even-dimensional manifolds. The paper is an independent continuation of the paper "Analytic formulas for topological degree of non-smooth mappings: the odd-dimensional case".
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Cite
@article{arxiv.1006.3954,
title = {Analytic formulas for topological degree of non-smooth mappings: the even-dimensional case},
author = {Magnus Goffeng},
journal= {arXiv preprint arXiv:1006.3954},
year = {2013}
}
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24 pages