Twisted Novikov homology of complex hypersurface complements
  We study the twisted Novikov homology of the complement of a complex hypersurface in general position at infinity. We give a self-contained topological proof of the vanishing (except possibly in the middle degree) of the twisted Novikov homology groups associated to positive cohomology classes of degree one defined on the complement. 
Stefan Friedl, Laurentiu Maxim
math.AT