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- Title
Non-fillable invariant contact structures on principal circle bundles and left-handed twists.
- Authors
Chiang, River; Ding, Fan; van Koert, Otto
- Abstract
We define symplectic fractional twists, which subsume Dehn twists and fibered twists and use these in open books to investigate contact structures. The resulting contact structures are invariant under a circle action, and share several similarities with the invariant contact structures that were studied by Lutz and Giroux. We show that left-handed fractional twists often give rise to 'algebraically overtwisted' contact manifolds, a certain class of non-fillable contact manifolds.
- Subjects
INVARIANTS (Mathematics); LATTICE theory; FRACTIONAL calculus; FIBER bundles (Mathematics); CONTACT manifolds
- Publication
International Journal of Mathematics, 2016, Vol 27, Issue 3, p-1
- ISSN
0129-167X
- Publication type
Article
- DOI
10.1142/S0129167X16500245