Invariants for Legendrian knots in lens spaces

In this paper, we define invariants for primitive Legendrian knots in lens spaces L(p,q), q ≠= 1. The main invariant is a differential graded algebra (A, η) which is computed from a labeled Lagrangian projection of the pair (L(p, q),K). This invariant is formally similar to a DGA defined by Sabloff which is an invariant for Legendrian knots in smooth S1-bundles over Riemann surfaces. The second invariant defined for K C L(p, q) takes the form of a DGA enhanced with a free cyclic group action and can be computed from a cyclic cover of the pair (L(p, q),K).