I will review the action of some interesting operators in triply graded Khovanov-Rozansky homology of knots and links, including the so-called tautological classes. For (n,n+1) torus knots, the action of tautological classes can be extended to the action of the Lie algebra of Hamiltonian vector fields on the plane, and the corresponding representation can be described explicitly. This is a joint work with Anton Mellit.