By analogy with knot theory, complex hypersurfaces can be studied via Alexander-type
invariants of their complements. I will discuss old and new results concerning rigidity
properties of such invariants, including twisted Alexander invariants, L^2 betti numbers
and Novikov homology of hypersurface complements.
Links:
[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] http://www.mpim-bonn.mpg.de/node/3444
[3] http://www.mpim-bonn.mpg.de/node/6625