Differential Geometry of Weightings
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2020
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866913586566135808 |
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| author | Loizides, Yiannis Meinrenken, Eckhard |
| author_facet | Loizides, Yiannis Meinrenken, Eckhard |
| contents | We describe the notion of a \emph{weighting} along a submanifold $N\subset M$, and explore its differential-geometric implications. This includes a detailed discussion of weighted normal bundles, weighted deformation spaces, and weighted blow-ups. We give a description of weightings in terms of subbundles of higher tangent bundles, which leads us to notions of multiplicative weightings for Lie algebroids and Lie groupoids. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2010_01643 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Differential Geometry of Weightings Loizides, Yiannis Meinrenken, Eckhard Differential Geometry We describe the notion of a \emph{weighting} along a submanifold $N\subset M$, and explore its differential-geometric implications. This includes a detailed discussion of weighted normal bundles, weighted deformation spaces, and weighted blow-ups. We give a description of weightings in terms of subbundles of higher tangent bundles, which leads us to notions of multiplicative weightings for Lie algebroids and Lie groupoids. |
| title | Differential Geometry of Weightings |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2010.01643 |