An infinite family of tight, not semi-fillable contact three-manifolds
arXiv:math/0208063 · doi:10.2140/gt.2003.7.1055
Abstract
We prove that an infinite family of virtually overtwisted tight contact structures discovered by Honda on certain circle bundles over surfaces admit no symplectic semi-fillings. The argument uses results of Mrowka, Ozsvath and Yu on the translation-invariant solutions to the Seiberg-Witten equations on cylinders and the non-triviality of the Kronheimer-Mrowka monopole invariants of symplectic fillings.
Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol7/paper30.abs.html
Cited by in corpus (7)
- Right-veering diffeomorphisms of compact surfaces with boundary II
- Ozsvath-Szabo invariants and tight contact three-manifolds, I
- On symplectic fillings
- Strongly fillable contact 3-manifolds without Stein fillings
- Legendrian knots and monopoles
- Seifert fibered contact three-manifolds via surgery
- Stein fillable Seifert fibered 3-manifolds