  In \cite{confol} Y. Eliashberg and W. Thurston gave a definition of tight
confoliations. We give an example of a tight confoliation $\xi$ on $T^3$
violating the Thurston-Bennequin inequalities. This answers a question from
\cite{confol} negatively. Although the tightness of a confoliation does not
imply the Thurston-Bennequin inequalities, it is still possible to prove
restrictions on homotopy classes of plane fields which contain tight
confoliations.
  The failure of the Thurston-Bennequin inequalities for tight confoliations is
due to the presence of overtwisted stars. Overtwisted stars are particular
configurations of Legendrian curves which bound a disc with finitely many
punctures on the boundary. We prove that the Thurston-Bennequin inequalities
hold for tight confoliations without overtwisted stars and that symplectically
fillable confoliations do not admit overtwisted stars.

Geometric Topology;Symplectic Geometry