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- W2949986952 abstract "Face numbers of triangulations of simplicial complexes were studied by Stanley by use of his concept of a local $h$-vector. It is shown that a parallel theory exists for cubical subdivisions of cubical complexes, in which the role of the $h$-vector of a simplicial complex is played by the (short or long) cubical $h$-vector of a cubical complex, defined by Adin, and the role of the local $h$-vector of a triangulation of a simplex is played by the (short or long) cubical local $h$-vector of a cubical subdivision of a cube. The cubical local $h$-vectors are defined in this paper and are shown to share many of the properties of their simplicial counterparts. Generalizations to subdivisions of locally Eulerian posets are also discussed." @default.
- W2949986952 created "2019-06-27" @default.
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- W2949986952 date "2010-07-19" @default.
- W2949986952 modified "2023-09-27" @default.
- W2949986952 title "Cubical subdivisions and local $h$-vectors" @default.
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