Manifold arrangements

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4 Scopus citations

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 languageEnglish
Pages (from-to)214-239
Number of pages26
JournalJournal of Combinatorial Theory. Series A
Volume125
Issue number1
DOIs
StatePublished - 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).

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

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