We discuss the dependence of the pulsation frequencies of the axial quasi-n
ormal modes of a non-rotating neutron star upon the equation of state descr
ibing the star interior. The continued fraction method has been used to com
pute the complex frequencies for a set of equations of state based on diffe
rent physical assumptions and spanning a wide range of stiffness. The numer
ical results show that axial gravitational waves carry relevant information
on both the structure of neutron star matter and the nature of the hadroni
c interactions.