Tight contact structures without symplectic fillings are everywhere
Fuente:
arXiv
Salvato in:
| Autori principali: | , , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2022
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866914391524376576 |
|---|---|
| author | Bowden, Jonathan Gironella, Fabio Moreno, Agustin Zhou, Zhengyi |
| author_facet | Bowden, Jonathan Gironella, Fabio Moreno, Agustin Zhou, Zhengyi |
| contents | We show that for all $n \ge 3$, any $(2n+1)$-dimensional manifold that admits a tight contact structure, also admits a tight but non-fillable contact structure, in the same almost contact class. For $n=2$, we obtain the same result, provided that the first Chern class vanishes. We further construct Liouville but not Weinstein fillable contact structures on any Weinstein fillable contact manifold of dimension at least $7$ with torsion first Chern class. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_03680 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Tight contact structures without symplectic fillings are everywhere Bowden, Jonathan Gironella, Fabio Moreno, Agustin Zhou, Zhengyi Symplectic Geometry Geometric Topology We show that for all $n \ge 3$, any $(2n+1)$-dimensional manifold that admits a tight contact structure, also admits a tight but non-fillable contact structure, in the same almost contact class. For $n=2$, we obtain the same result, provided that the first Chern class vanishes. We further construct Liouville but not Weinstein fillable contact structures on any Weinstein fillable contact manifold of dimension at least $7$ with torsion first Chern class. |
| title | Tight contact structures without symplectic fillings are everywhere |
| topic | Symplectic Geometry Geometric Topology |
| url | https://arxiv.org/abs/2211.03680 |