A Chekanov-Eliashberg-style DGA is constructed for Legendrian knots in Σ×ℝ using Reeb chords and immersed polygons bounded by the knot projection and dividing set Γ, with proofs that d²=0 and stable tame isomorphism type is isotopy-invariant.
Invariants for Legendrian knots in lens spaces
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Invariants of Legendrian knots in thickened convex surfaces
A Chekanov-Eliashberg-style DGA is constructed for Legendrian knots in Σ×ℝ using Reeb chords and immersed polygons bounded by the knot projection and dividing set Γ, with proofs that d²=0 and stable tame isomorphism type is isotopy-invariant.