In this talk I will describe some invariants for transverse links in  

S^3 (endowed with the symmetric contact structure) arising from the  

deformations of Khovanov sl_3 homology.

I will start with a brief introduction to the theory of transverse  

links in S^3. Afterward, I will recall some known results concerning  

transverse invariants in link homologies. In particular, I will focus  

on the invariants coming from Khovanov-Rozansky homologies, and those coming from the deformations of Khovanov homology.

After the introductory part, I will briefly describe the construction  

and the properties of the universal sl_3 link homology, due to Mackaay and Vaz, and define the transverse invariants. These invariants, which are called the \beta_3-invariants, are cycles in the universal sl_3 complex.

Finally, I will state a result concerning the vanishing of the  

homology classes of these invariants, and compare it with similar  

results known for other invariants. The idea of the proof will be also  

given. Time permitting, I will also give a number of Bennequin-type  

inequalities which can be proved using the \beta_3-invariants.