Jonathan Browder ; Steven Klee - Bucshbaum simplicial posets

dmtcs:2452 - Discrete Mathematics & Theoretical Computer Science, January 1, 2014, DMTCS Proceedings vol. AT, 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014) - https://doi.org/10.46298/dmtcs.2452
Bucshbaum simplicial posets

Authors: Jonathan Browder 1; Steven Klee 2

  • 1 Department of Mathematics [Aalto]
  • 2 Department of Mathematics [Seattle University]

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.

https://doi.org/10.46298/dmtcs.2452
Source: HAL:hal-01207560v1
Volume: DMTCS Proceedings vol. AT, 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014)
Section: Proceedings
Published on: January 1, 2014
Imported on: November 21, 2016
Keywords: Simplicial complex,simplicial poset,f-vector,h-vector,Cohen-Macaulay,Buchsbaum,[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM],[MATH.MATH-CO] Mathematics [math]/Combinatorics [math.CO]

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Source : ScholeXplorer IsRelatedTo ARXIV 1307.1548
Source : ScholeXplorer IsRelatedTo DOI 10.1007/s00209-014-1286-6
Source : ScholeXplorer IsRelatedTo DOI 10.48550/arxiv.1307.1548
  • 1307.1548
  • 10.48550/arxiv.1307.1548
  • 10.1007/s00209-014-1286-6
  • 10.1007/s00209-014-1286-6
A classification of the face numbers of Buchsbaum simplicial posets

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