Manifold arrangements
arXiv:1210.0910 · doi:10.1016/j.jcta.2014.03.003
Abstract
We determine the cd-index of the induced subdivision arising from a manifold arrangement. This generalizes earlier results in several directions: (i) One can work with manifolds other than the n-sphere and n-torus, (ii) the induced subdivision is a Whitney stratification, and (iii) the submanifolds in the arrangement are no longer required to be codimension one.
24 pages, 3 figures. Changes include added references, typos corrected and arguments polished