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 of codimension one.
| Original language | English |
|---|---|
| Pages (from-to) | 214-239 |
| Number of pages | 26 |
| Journal | Journal of Combinatorial Theory. Series A |
| Volume | 125 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jul 2014 |
Bibliographical note
Funding 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).
Funding
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).
| Funders | Funder number |
|---|---|
| National Science Foundation (NSF) | DMS 0902063 |
| Directorate for Mathematical and Physical Sciences | 0902063 |
| Simons Foundation | 206001 |
Keywords
- Cd-index
- 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