English

Manifold arrangements

Combinatorics 2017-05-30 v2 Algebraic Topology

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.

Keywords

Cite

@article{arxiv.1210.0910,
  title  = {Manifold arrangements},
  author = {Richard Ehrenborg and Margaret Readdy},
  journal= {arXiv preprint arXiv:1210.0910},
  year   = {2017}
}

Comments

24 pages, 3 figures. Changes include added references, typos corrected and arguments polished

R2 v1 2026-06-21T22:14:58.678Z