A Note on Somewhere Positive Loops of Contactomorphisms
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866913142958718976 |
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| author | Uljarević, Igor |
| author_facet | Uljarević, Igor |
| contents | In this note, we consider contractible loops of contactomorphisms that are positive over some non-empty closed subset of a contact manifold. Such closed subsets are called immaterial. We argue that the complement of a Reeb-invariant immaterial subset can be seen as big in contact geometric terms. This is supported by two results: one regarding symplectic homology of the filling and the other regarding recently introduced contact quasi-measures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_07714 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A Note on Somewhere Positive Loops of Contactomorphisms Uljarević, Igor Symplectic Geometry 53Dxx In this note, we consider contractible loops of contactomorphisms that are positive over some non-empty closed subset of a contact manifold. Such closed subsets are called immaterial. We argue that the complement of a Reeb-invariant immaterial subset can be seen as big in contact geometric terms. This is supported by two results: one regarding symplectic homology of the filling and the other regarding recently introduced contact quasi-measures. |
| title | A Note on Somewhere Positive Loops of Contactomorphisms |
| topic | Symplectic Geometry 53Dxx |
| url | https://arxiv.org/abs/2601.07714 |