Decomposition theorem for the cd-index of Gorenstein* posets

被引：0
|
作者：
Richard Ehrenborg
Kalle Karu
机构：
[1] University of Kentucky,Department of Mathematics
[2] University of British Columbia,Department of Mathematics
来源：
Journal of Algebraic Combinatorics | 2007年 / 26卷
关键词：
-index; Gorenstein; posets; Decomposition theorem; Lattices; Subdivisions;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We prove a decomposition theorem for the cd-index of a Gorenstein* poset analogous to the decomposition theorem for the intersection cohomology of a toric variety. From this we settle a conjecture of Stanley that the cd-index of Gorenstein* lattices is minimized on Boolean algebras.
引用
收藏
页码：225 / 251
页数：26
相关论文
共 50 条
  • [1] Decomposition theorem for the cd-index of Gorenstein* posets
    Ehrenborg, Richard
    Karu, Kalle
    JOURNAL OF ALGEBRAIC COMBINATORICS, 2007, 26 (02) : 225 - 251
  • [2] The cd-index of fans and posets
    Karu, K
    COMPOSITIO MATHEMATICA, 2006, 142 (03) : 701 - 718
  • [3] cd-Index for CW-Posets
    Murai, Satoshi
    COMBINATORIAL METHODS IN TOPOLOGY AND ALGEBRA, 2015, 12 : 103 - 106
  • [4] Coproducts and the cd-index
    J Algebraic Combinatorics, 3 (273-299):
  • [5] Coproducts and the cd-index
    Ehrenborg, R
    Readdy, M
    JOURNAL OF ALGEBRAIC COMBINATORICS, 1998, 8 (03) : 273 - 299
  • [6] Coproducts and the cd-Index
    Richard Ehrenborg
    Margaret Readdy
    Journal of Algebraic Combinatorics, 1998, 8 : 273 - 299
  • [7] Monotonicity of the cd-index for polytopes
    Louis J. Billera
    Richard Ehrenborg
    Mathematische Zeitschrift, 2000, 233 : 421 - 441
  • [8] The cd-index of Bruhat intervals
    Reading, N
    ELECTRONIC JOURNAL OF COMBINATORICS, 2004, 11 (01):
  • [9] Weighted derivations and the cd-index
    Jojic, Dusko
    DISCRETE & COMPUTATIONAL GEOMETRY, 2008, 39 (04) : 678 - 689
  • [10] Weighted Derivations and the cd-Index
    Duško Jojić
    Discrete & Computational Geometry, 2008, 39 : 678 - 689
12345