Skip to Main content Skip to Navigation
Conference papers

Bucshbaum simplicial posets

Abstract : The family of Buchsbaum simplicial posets generalizes the family of simplicial cell manifolds. The $h'-$vector of a simplicial complex or simplicial poset encodes the combinatorial and topological data of its face numbers and the reduced Betti numbers of its geometric realization. Novik and Swartz showed that the $h'-$vector of a Buchsbaum simplicial poset satisfies certain simple inequalities. In this paper we show that these necessary conditions are in fact sufficient to characterize the h'-vectors of Buchsbaum simplicial posets with prescribed Betti numbers.
Complete list of metadata

Cited literature [17 references]  Display  Hide  Download

https://hal.inria.fr/hal-01207560
Contributor : Coordination Episciences Iam <>
Submitted on : Thursday, October 1, 2015 - 9:28:26 AM
Last modification on : Thursday, November 26, 2020 - 2:56:03 PM
Long-term archiving on: : Saturday, January 2, 2016 - 10:39:53 AM

File

dmAT0178.pdf
Publisher files allowed on an open archive

Identifiers

  • HAL Id : hal-01207560, version 1

Collections

Citation

Jonathan Browder, Steven Klee. Bucshbaum simplicial posets. 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014), 2014, Chicago, United States. pp.911-922. ⟨hal-01207560⟩

Share

Metrics

Record views

122

Files downloads

816