  Transport properties of dense QCD matter is discussed. Using the Kubo formula
for conductivity, we discuss some topological aspects of quark matter during
chiral transition. The close relation to Weyl semimetal is pointed out and
anomalous Hall effect is demonstrated to be possible there. In particular, it
is shown that the spectral asymmetry of the quasi-particles plays an important
role for the Hall conductivity in the magnetic field.
