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 of codimension one.
|Number of pages
|Journal of Combinatorial Theory. Series A
|Published - Jul 2014
Bibliographical noteFunding Information:
The authors thank Mark Goresky for many helpful discussions and the referees for their careful comments. The first author also thanks the Institute for Advanced Study for a productive research visit in May 2012. The first author was partially supported by National Science Foundation grant DMS 0902063 . This work was partially supported by a grant from the Simons Foundation (# 206001 to Margaret Readdy).
- Euler flag enumeration
- Manifold arrangements
- Spherical arrangements
- Toric arrangements
- Whitney stratifications
ASJC Scopus subject areas
- Theoretical Computer Science
- Discrete Mathematics and Combinatorics
- Computational Theory and Mathematics