Rigid secondary characteristic classes
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917614182203392 |
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| author | Hurder, Steven |
| author_facet | Hurder, Steven |
| contents | We construct families of non-trivial universal rigid secondary classes for foliations, and then discuss their application to prove that foliations are not homotopic. An observation of Lawson about the non-triviality of the normal Pontrjagin classes of foliations is extended, and then used to construct new families of examples of foliations with non-trivial rigid secondary classes. Examples are given of (abstractly constructed) foliations of compact manifolds with homotopic tangent bundles, but which are not homotopic as foliations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_09371 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Rigid secondary characteristic classes Hurder, Steven Algebraic Topology 57R20, 57R32, 57R50, 58D05 We construct families of non-trivial universal rigid secondary classes for foliations, and then discuss their application to prove that foliations are not homotopic. An observation of Lawson about the non-triviality of the normal Pontrjagin classes of foliations is extended, and then used to construct new families of examples of foliations with non-trivial rigid secondary classes. Examples are given of (abstractly constructed) foliations of compact manifolds with homotopic tangent bundles, but which are not homotopic as foliations. |
| title | Rigid secondary characteristic classes |
| topic | Algebraic Topology 57R20, 57R32, 57R50, 58D05 |
| url | https://arxiv.org/abs/2403.09371 |