Classification of invariant tight contact structures on the 3-space, -ball and -sphere
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2026
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866914266326499328 |
|---|---|
| author | Torresani, Mirko |
| author_facet | Torresani, Mirko |
| contents | We prove some classification results for tight contact structure in the 3-space, -ball and -sphere that are invariant with respect to some arbitrary involution, that is conjugated to the standard rotation around the x-axis. Unlike the classical scenario, a new integral torsion appears, dictating a splitting between equivalence classes. These tools could be useful fur future classification results regarding strongly invertible Legendrian knots. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_14040 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Classification of invariant tight contact structures on the 3-space, -ball and -sphere Torresani, Mirko Geometric Topology Differential Geometry We prove some classification results for tight contact structure in the 3-space, -ball and -sphere that are invariant with respect to some arbitrary involution, that is conjugated to the standard rotation around the x-axis. Unlike the classical scenario, a new integral torsion appears, dictating a splitting between equivalence classes. These tools could be useful fur future classification results regarding strongly invertible Legendrian knots. |
| title | Classification of invariant tight contact structures on the 3-space, -ball and -sphere |
| topic | Geometric Topology Differential Geometry |
| url | https://arxiv.org/abs/2601.14040 |