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On the Gabai-Eliashberg-Thurston Theorem

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Commentarii Mathematici Helvetici

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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Authors and Affiliations

  1. University of Southern California, CA 90089, Los Angeles, USA

    Ko Honda

  2. University of Georgia, GA 30602, Athens, USA

    William H. Kazez

  3. University of Georgia, GA 30602, Athens, USA

    Gordana Matić

Authors
  1. Ko Honda
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  2. William H. Kazez
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  3. Gordana Matić
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Correspondence to Ko Honda.

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Honda, K., Kazez, W. & Matić, G. On the Gabai-Eliashberg-Thurston Theorem . Comment. Math. Helv. 79, 502–515 (2004). https://doi.org/10.1007/s00014-004-0804-2

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  • DOI: https://doi.org/10.1007/s00014-004-0804-2

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