  We study the topological K-theory spectrum of the dg singularity category
associated to a weighted projective complete intersection. We calculate the
topological K-theory of the dg singularity category of a weighted projective
hypersurface in terms of its Milnor fiber and monodromy operator, and, as an
application, we obtain a lift of the Atiyah-Bott-Shapiro construction to the
level of spectra.
