Gysin restriction of topological and Hodge-theoretic characteristic classes for singular spaces
We establish formulae that show how the topological characteristic L-classes of Goresky and MacPherson, as well as the Hodge-theoretic Hirzebruch type characteristic classes defined by Brasselet, Schiirmann and Yokura transform under Gysin restrictions associated to normally nonsingular embeddings o...
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| 1. Verfasser: | |
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| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
November 15, 2020
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| In: |
New York journal of mathematics
Year: 2020, Jahrgang: 26, Pages: 1273-1337 |
| ISSN: | 1076-9803 |
| Online-Zugang: | Verlag, lizenzpflichtig, Volltext: https://www.emis.de/journals/NYJM/j/2020/26-52.html
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| Verfasserangaben: | Markus Banagl |
MARC
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| 520 | |a We establish formulae that show how the topological characteristic L-classes of Goresky and MacPherson, as well as the Hodge-theoretic Hirzebruch type characteristic classes defined by Brasselet, Schiirmann and Yokura transform under Gysin restrictions associated to normally nonsingular embeddings of singular spaces. We find that both types of classes transform in the same manner. These results suggest a method of normally nonsingular expansions for computing the above characteristic classes. We illustrate this method by computing Goresky-MacPherson L-classes of some singular Schubert varieties. | ||
| 650 | 4 | |a algebraic-varieties | |
| 650 | 4 | |a bundles | |
| 650 | 4 | |a Characteristic classes | |
| 650 | 4 | |a chern classes | |
| 650 | 4 | |a complexes | |
| 650 | 4 | |a genera | |
| 650 | 4 | |a Gysin homomorphism | |
| 650 | 4 | |a intersection homology | |
| 650 | 4 | |a stratified spaces | |
| 650 | 4 | |a witt spaces | |
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