Convex decomposition theory
classification
🧮 math.GT
keywords
contactconvexdecompositioneverymanifoldtheorytightboundary
read the original abstract
We use convex decomposition theory to (1) reprove the existence of a universally tight contact structure on every irreducible 3-manifold with nonempty boundary, and (2) prove that every toroidal 3-manifold carries infinitely many nonisotopic, nonisomorphic tight contact structures.
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