H-vectors of simplicial cell balls

Satoshi Murai

doi:10.1090/S0002-9947-2012-05674-1

H-vectors of simplicial cell balls

Satoshi Murai^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

A simplicial cell ball is a simplicial poset whose geometric realization is homeomorphic to a ball. Recently, Samuel Kolins gave a series of necessary conditions and sufficient conditions on h-vectors of simplicial cell balls, and characterized them up to dimension 6. In this paper, we extend Kolins' results. We characterize all possible h-vectors of simplicial cell balls in arbitrary dimension.

Original language	English
Pages (from-to)	1533-1550
Number of pages	18
Journal	Transactions of the American Mathematical Society
Volume	365
Issue number	3
DOIs	https://doi.org/10.1090/S0002-9947-2012-05674-1
Publication status	Published - 2013
Externally published	Yes

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

Access to Document

10.1090/S0002-9947-2012-05674-1

Cite this

@article{bfb7476b2f6544beaebfa2bb34d6fd2d,

title = "H-vectors of simplicial cell balls",

abstract = "A simplicial cell ball is a simplicial poset whose geometric realization is homeomorphic to a ball. Recently, Samuel Kolins gave a series of necessary conditions and sufficient conditions on h-vectors of simplicial cell balls, and characterized them up to dimension 6. In this paper, we extend Kolins' results. We characterize all possible h-vectors of simplicial cell balls in arbitrary dimension.",

author = "Satoshi Murai",

year = "2013",

doi = "10.1090/S0002-9947-2012-05674-1",

language = "English",

volume = "365",

pages = "1533--1550",

journal = "Transactions of the American Mathematical Society",

issn = "0002-9947",

publisher = "American Mathematical Society",

number = "3",

}

TY - JOUR

T1 - H-vectors of simplicial cell balls

AU - Murai, Satoshi

PY - 2013

Y1 - 2013

N2 - A simplicial cell ball is a simplicial poset whose geometric realization is homeomorphic to a ball. Recently, Samuel Kolins gave a series of necessary conditions and sufficient conditions on h-vectors of simplicial cell balls, and characterized them up to dimension 6. In this paper, we extend Kolins' results. We characterize all possible h-vectors of simplicial cell balls in arbitrary dimension.

AB - A simplicial cell ball is a simplicial poset whose geometric realization is homeomorphic to a ball. Recently, Samuel Kolins gave a series of necessary conditions and sufficient conditions on h-vectors of simplicial cell balls, and characterized them up to dimension 6. In this paper, we extend Kolins' results. We characterize all possible h-vectors of simplicial cell balls in arbitrary dimension.

UR - http://www.scopus.com/inward/record.url?scp=84871576906&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84871576906&partnerID=8YFLogxK

U2 - 10.1090/S0002-9947-2012-05674-1

DO - 10.1090/S0002-9947-2012-05674-1

M3 - Article

AN - SCOPUS:84871576906

SN - 0002-9947

VL - 365

SP - 1533

EP - 1550

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

IS - 3

ER -

H-vectors of simplicial cell balls

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this