  A polynomial invariant of virtual links, arising from an invariant of links
in thickened surfaces introduced by Jaeger, Kauffman, and Saleur, is defined
and its properties are investigated. Examples are given that the invariant can
detect chirality and even non-invertibility of virtual knots and links.
Furthermore, it is shown that the polynomial satisfies a Conway-type skein
relation - in contrast to the Alexander polynomial derived from the virtual
link group.
