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- W4300501822 abstract "We use the mapping cone for the relative deRham cohomology of a manifold with boundary in order to show that the Chern-Gauss-Bonnet Theorem for oriented Riemannian vector bundles over such manifolds is a manifestation of Lefschetz Duality in any of the two embodiments of the latter. We explain how Thom isomorphism fits into this picture, complementing thus the classical results about Thom forms with compact support. When the rank is odd, we construct, by using secondary transgression forms introduced here, a new closed pair of forms on the disk bundle associated to a vector bundle, pair which is Lefschetz dual to the zero section." @default.
- W4300501822 created "2022-10-03" @default.
- W4300501822 creator A5049341381 @default.
- W4300501822 date "2015-07-24" @default.
- W4300501822 modified "2023-09-30" @default.
- W4300501822 title "Chern-Gauss-Bonnet and Lefschetz Duality from a currential point of view" @default.
- W4300501822 doi "https://doi.org/10.48550/arxiv.1507.07014" @default.
- W4300501822 hasPublicationYear "2015" @default.
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