Manifold arrangements

Richard Ehrenborg; Margaret Readdy

doi:10.1016/j.jcta.2014.03.003

Manifold arrangements

Mathematics

Producción científica: Article › revisión exhaustiva

6 Citas (Scopus)

Resumen

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.

Idioma original	English
Páginas (desde-hasta)	214-239
Número de páginas	26
Publicación	Journal of Combinatorial Theory. Series A
Volumen	125
N.º	1
DOI	https://doi.org/10.1016/j.jcta.2014.03.003
Estado	Published - jul 2014

Nota bibliográfica

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).

Financiación

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).

Financiadores	Número del financiador
U.S. Department of Energy Chinese Academy of Sciences Guangzhou Municipal Science and Technology Project Oak Ridge National Laboratory Extreme Science and Engineering Discovery Environment National Science Foundation National Energy Research Scientific Computing Center National Natural Science Foundation of China	DMS 0902063
Simons Foundation	206001

ASJC Scopus subject areas

Theoretical Computer Science
Discrete Mathematics and Combinatorics
Computational Theory and Mathematics

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keywords = "Cd-index, Euler flag enumeration, Manifold arrangements, Spherical arrangements, Toric arrangements, Whitney stratifications",

author = "Richard Ehrenborg and Margaret Readdy",

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KW - Euler flag enumeration

KW - Manifold arrangements

KW - Spherical arrangements

KW - Toric arrangements

KW - Whitney stratifications

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IS - 1

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Manifold arrangements

Resumen

Nota bibliográfica

Financiación

ASJC Scopus subject areas

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