On the semicontinuity of the mod 2 spectrum of hypersurface singularities

Abstract

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.

arXiv comment13 pages, updated references to BNR2