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arXiv · 1210.0798

On the semicontinuity of the mod 2 spectrum of hypersurface singularities

Maciej Borodzik·András Némethi·Andrew Ranicki
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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.

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Maciej Borodzik, András Némethi, Andrew Ranicki. 2012-11-27. On the semicontinuity of the mod 2 spectrum of hypersurface singularities. https://arxiv.org/abs/1210.0798

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