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| Format: | Preprint |
| Veröffentlicht: |
2025
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| Online-Zugang: | https://arxiv.org/abs/2503.18750 |
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| _version_ | 1866916660848361472 |
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| author | Uljarević, Igor Zhang, Jun |
| author_facet | Uljarević, Igor Zhang, Jun |
| contents | We introduce the notions of partial contact quasi-state and contact quasi-measure. Using the contact spectral invariant from the work by Djordjević-Uljarević-Zhang, one can construct partial contact quasi-states and contact quasi-measures on each contact manifold fillable by a Liouville domain with non-vanishing and $\mathbb{Z}$-graded symplectic homology. As an application, we present an alternative proof of the contact big fibre theorem from the recent work by Sun-Uljarević-Varolgunes under a mild topological condition. Our proof follows a more "classical" approach developed by Entov-Polterovich in the symplectic setting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_18750 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Contact quasi-states and their applications Uljarević, Igor Zhang, Jun Symplectic Geometry 53D35, 53D40 We introduce the notions of partial contact quasi-state and contact quasi-measure. Using the contact spectral invariant from the work by Djordjević-Uljarević-Zhang, one can construct partial contact quasi-states and contact quasi-measures on each contact manifold fillable by a Liouville domain with non-vanishing and $\mathbb{Z}$-graded symplectic homology. As an application, we present an alternative proof of the contact big fibre theorem from the recent work by Sun-Uljarević-Varolgunes under a mild topological condition. Our proof follows a more "classical" approach developed by Entov-Polterovich in the symplectic setting. |
| title | Contact quasi-states and their applications |
| topic | Symplectic Geometry 53D35, 53D40 |
| url | https://arxiv.org/abs/2503.18750 |