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On the Gabai-Eliashberg-Thurston Theorem

On the Gabai-Eliashberg-Thurston Theorem

We present a new, completely three-dimensional proof of the fact, due to the combined work of Gabai and Eliashberg-Thurston, that every closed, oriented, connected, irreducible 3-manifold with nonzero second homology carries a universally tight contact structure.