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On the Gabai-Eliashberg-Thurston theorem

Commentarii Mathematici Helvetici (2004) 79(3) 502-515
DOI: 10.1007/s00014-004-0804-2
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Abstract

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.

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Honda, K., Kazez, W. H., & Matić, G. (2004). On the Gabai-Eliashberg-Thurston theorem. Commentarii Mathematici Helvetici, 79(3), 502–515. https://doi.org/10.1007/s00014-004-0804-2

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