A survey of subdivisions and local h-vectors
Athanasiadis, Christos A.
Original · EN
The enumerative theory of simplicial subdivisions (triangulations) of simplicial complexes was developed by Stanley in order to understand the effect of such subdivisions on the h-vector of a simplicial complex. A key role there is played by the concept of a local h-vector. This paper surveys some of the highlights of this theory and some recent developments, concerning subdivisions of flag homology spheres and their γ-vectors. Several interesting examples and open problems are discussed.
English translation
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