  We review Bennequin type inequalities established using various versions of
the Khovanov-Rozansky cohomology. Then we give a new proof of a Bennequin type
inequality established by the author, and derive new Bennequin type
inequalities for knots using Gornik's version of the Khovanov-Rozansky
cohomology, which generalize those established by Shumakovitch, Plamenevskaya
and Kawamura using the Rasmussen invariant.
