Tight contact structures without symplectic fillings are everywhere
We show that for all n≥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 bu...
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| Autori principali: | , , , |
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| Natura: | Article (Journal) |
| Lingua: | inglese |
| Pubblicazione: |
14 April 2026
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| In: |
Journal of the European Mathematical Society
Year: 2026, Pages: 1-50 |
| ISSN: | 1435-9863 |
| DOI: | 10.4171/jems/1787 |
| Accesso online: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.4171/jems/1787 Verlag, lizenzpflichtig, Volltext: https://ems.press/journals/jems/articles/14299659 
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| Note sull'autore: | Jonathan Bowden, Fabio Gironella, Agustin Moreno, Zhengyi Zhou |
| Riassunto: | We show that for all n≥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. |
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| Descrizione del documento: | Veröffentlicht: 14. April 2026 Gesehen am 10.08.2026 |
| Descrizione fisica: | Online Resource |
| ISSN: | 1435-9863 |
| DOI: | 10.4171/jems/1787 |