On the semicontinuity of the mod 2 spectrum of hypersurface   singularities
  We use purely topological methods to prove the semicontinuity of the mod 2 spectrum of local isolated hypersurface singularities in $\mathbb{C}^{n+1}$, using Seifert forms of high-dimensional non-spherical links, the Levine--Tristram signatures and the generalized Murasugi--Kawauchi inequality obtained in earlier work for cobordisms of links. 
Maciej Borodzik, Andr\'as N\'emethi, Andrew Ranicki
math.AG math.GT