State cycles which represent the canonical class of Leeʼs homology of a knot

For a diagram of a knot, Lee associated a complex which is called Leeʼs complex. We introduce the notion of a state cycle of Leeʼs complex, which is a certain cycle of Leeʼs complex. We describe state cycles which represent the canonical class of Leeʼs homology of a knot. As a corollary, we give the shaper slice-Bennequin inequality for the Rasmussen invariant of a knot in the viewpoint of cycles of Leeʼs complex.