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- W4305031561 abstract "We consider transfer maps on ordinary homology, bordism of singular spaces and homology with coefficients in Ranicki's symmetric L-spectrum, associated to block bundles with closed oriented PL manifold fiber and compact polyhedral base. We prove that if the base polyhedron is a Witt space, for example a pure-dimensional compact complex algebraic variety, then the symmetric L-homology orientation of the base, constructed by Laures, McClure and the author, transfers to the L-homology orientation of the total space. We deduce from this that the Cheeger-Goresky-MacPherson L-class of the base transfers to the product of the L-class of the total space with the cohomological L-class of the stable vertical normal microbundle." @default.
- W4305031561 created "2022-10-14" @default.
- W4305031561 creator A5017730358 @default.
- W4305031561 date "2022-10-11" @default.
- W4305031561 modified "2023-10-15" @default.
- W4305031561 title "Bundle Transfer of L-Homology Orientation Classes for Singular Spaces" @default.
- W4305031561 doi "https://doi.org/10.48550/arxiv.2210.05432" @default.
- W4305031561 hasPublicationYear "2022" @default.
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