An index theory for transverse trajectories
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Accesso online: | |
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| _version_ | 1866915746853945344 |
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| author | Schuback, Nelson |
| author_facet | Schuback, Nelson |
| contents | In this work, we present an alternative definition of the Le Roux index, which generalizes the Poincaré-Hopf index for non-singular planar flows to the broader setting of Brouwer homeomorphisms. This new approach answers a question raised by Le Roux by establishing a connection between the index of a Brouwer homeomorphism and the structure of its transverse foliations, in the sense of Le Calvez. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_15651 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | An index theory for transverse trajectories Schuback, Nelson Dynamical Systems General Topology 37E30, 37B30 In this work, we present an alternative definition of the Le Roux index, which generalizes the Poincaré-Hopf index for non-singular planar flows to the broader setting of Brouwer homeomorphisms. This new approach answers a question raised by Le Roux by establishing a connection between the index of a Brouwer homeomorphism and the structure of its transverse foliations, in the sense of Le Calvez. |
| title | An index theory for transverse trajectories |
| topic | Dynamical Systems General Topology 37E30, 37B30 |
| url | https://arxiv.org/abs/2601.15651 |