| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4659502 | Topology and its Applications | 2012 | 7 Pages |
Abstract
Homotopy classes of plane fields on 3-manifolds have been classified using a 2-dimensional invariant Γ and a 3-dimensional invariant θ by R. Gompf. Under regular covering maps, Γ lifts in the natural way. The lifting property of θ remained unresolved. In this paper, we present the lifting property of θ together with applications to Lens spaces. The applications help in specifying the liftings of the contact structures of the Lens space L(p,1) when lifted to S3.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
