Two contact surgery diagrams represent contactomorphic manifolds if and only if they are related by planar isotopies, Legendrian Reidemeister moves, cancelling pairs, handle slides, lantern moves, and chain moves.
A Legendrian surgery presentation of contact 3-manifolds
2 Pith papers cite this work. Polarity classification is still indexing.
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2026 2verdicts
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An explicit algorithm realizes homologically nontrivial curves as Legendrian on ribbon surfaces of Legendrian graphs and converts abstract open books into contact surgery diagrams, with a uniqueness result for such realizations.
citing papers explorer
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A contact version of Kirby's theorem
Two contact surgery diagrams represent contactomorphic manifolds if and only if they are related by planar isotopies, Legendrian Reidemeister moves, cancelling pairs, handle slides, lantern moves, and chain moves.
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An algorithm to Legendrian realize a curve on a ribbon surface
An explicit algorithm realizes homologically nontrivial curves as Legendrian on ribbon surfaces of Legendrian graphs and converts abstract open books into contact surgery diagrams, with a uniqueness result for such realizations.