Transmission Problems for Holomorphic Fiber Bundles

H. Röhrl
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H. Röhrl: University of Minnesota, Department of Mathematics

A chapter in Proceedings of the Conference on Complex Analysis, 1965, pp 215-242 from Springer

Abstract: Abstract In a previous paper ([9]) the author considered transmission problems for holomorphic fiber bundles over Riemann surfaces and families of Riemann surfaces. In this context the question arose as to how to treat analogous problems for fiber bundles over complex spaces X. The situation in higher dimensional complex spaces is by necessity different from the one dimensional case since only in more than one complex dimension the phenomenon of pseudoconvexity appears. At the same time it turned out to be desirable to deal with a more general geometric and analytic situation as in [9], thus making it possible to interpret “topologically correct” transmission problems as cycles in a certain homology theory, so that two such topological transmission problems are isomorphic if the corresponding cycles are homologous.

Keywords: Riemann Surface; Fiber Bundle; Complex Space; Transmission Function; Holomorphic Section (search for similar items in EconPapers)
Date: 1965
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DOI: 10.1007/978-3-642-48016-4_20

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