Generalized Riemann-Hilbert Transmission and Boundary Value Problems, Fredholm Pairs and Bordisms

Details Generalized Riemann-Hilbert Transmission and Boundary Value Problems, Fredholm Pairs and Bordisms Generalized Riemann-Hilbert Transmission and Boundary Value Problems, Fredholm Pairs and Bordisms

2001-11-07

arxiv.org/abs/math/0111076v2

Mathematics

K-Theory and Homology

AMS-tex, 16 pages, 1 figure. to appear in Bull. Polish Acad. Sci. Math

Scientific paper

We present classical and generalized Riemann-Hilbert problem in several
contexts arising from $K$-theory and bordism theory. The language of Fredholm
pairs turns out to be useful and unavoidable. We propose an abstract
formulation of a notion of bordism in the context of Hilbert spaces equipped
with splittings.

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