Tight contact structures on the Brieskorn spheres -Σ(2,3,6n-1) and contact invariants
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and
Abstract
We compute the Ozsváth–Szabó contact invariants for all tight
contact structures on the manifolds
Funding source: Agence Nationale de la Recherche
Award Identifier / Grant number: ‘Floer Power’
Funding statement: The first author acknowledges partial support from the ANR project ‘Floer Power.’
Acknowledgements
This work was started when the authors met at the 2008 France–Canada meeting; we therefore thank the Canadian Mathematical Society, the Société Mathématique de France and CIRGET for their hospitality. We also thank Ko Honda for suggesting the problem to the first author and helping him to work out the upper bound in 2001, and Thomas Mark for useful explanations about Heegaard Floer homology with twisted coefficients. We finally thank the anonymous referees for helping us improve the exposition.
References
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© 2021 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Frontmatter
- Tight contact structures on the Brieskorn spheres -Σ(2,3,6n-1) and contact invariants
- Some examples of quasiisometries of nilpotent Lie groups
- Spans of special cycles of codimension less than 5
- The braided Thompson's groups are of type F∞
- Fonctions régulues
- A Dixmier--Douady theory for strongly self-absorbing C*-algebras
- Monodromy of A-hypergeometric functions
- Primitive ideals, twisting functors and star actions for classical Lie superalgebras
Articles in the same Issue
- Frontmatter
- Tight contact structures on the Brieskorn spheres -Σ(2,3,6n-1) and contact invariants
- Some examples of quasiisometries of nilpotent Lie groups
- Spans of special cycles of codimension less than 5
- The braided Thompson's groups are of type F∞
- Fonctions régulues
- A Dixmier--Douady theory for strongly self-absorbing C*-algebras
- Monodromy of A-hypergeometric functions
- Primitive ideals, twisting functors and star actions for classical Lie superalgebras
