Stratified vector fields on orbit spaces
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866910190764294144 |
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| author | de Melo, Mateus Herrera-Carmona, Juan Sebastian Valencia, Fabricio |
| author_facet | de Melo, Mateus Herrera-Carmona, Juan Sebastian Valencia, Fabricio |
| contents | Using Morita type stratifications, we establish a one-to-one correspondence between geometric vector fields on a separated differentiable stack and stratified vector fields on its orbit space. This correspondence enables us to derive a stacky version of the generalized Gauss lemma and to prove a smooth version of Palais' covering isotopy theorem for a class of proper Lie groupoids, thereby extending the classical result for proper Lie group actions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_03174 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Stratified vector fields on orbit spaces de Melo, Mateus Herrera-Carmona, Juan Sebastian Valencia, Fabricio Differential Geometry Using Morita type stratifications, we establish a one-to-one correspondence between geometric vector fields on a separated differentiable stack and stratified vector fields on its orbit space. This correspondence enables us to derive a stacky version of the generalized Gauss lemma and to prove a smooth version of Palais' covering isotopy theorem for a class of proper Lie groupoids, thereby extending the classical result for proper Lie group actions. |
| title | Stratified vector fields on orbit spaces |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2605.03174 |