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.
The contact homology of Legendrian submanifolds inR 2n`1
2 Pith papers cite this work. Polarity classification is still indexing.
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math.SG 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Existence of at least one J-holomorphic disc is shown for every sufficiently small height parameter from any rigid transversely cut-out Y-Morse tree via obstruction bundle gluing.
citing papers explorer
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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.
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From Morse Trees to $J$-Holomorphic Discs -- Rigid Y-Graphs
Existence of at least one J-holomorphic disc is shown for every sufficiently small height parameter from any rigid transversely cut-out Y-Morse tree via obstruction bundle gluing.