JournalscmhVol. 79 , No. 3DOI 10.1007/s00014-004-0804-2

On the Gabai-Eliashberg-Thurston Theorem

  • Ko Honda

    University of Southern California, Los Angeles, USA
  • William H. Kazez

    University of Georgia, Athens, USA
  • Gordana Matić

    University of Georgia, Athens, USA
On the Gabai-Eliashberg-Thurston Theorem cover

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.