%0 Journal Article
%T A survey of subdivisions and local $h$-vectors
%A Christos A. Athanasiadis
%J Mathematics
%D 2014
%I arXiv
%X 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 $\gamma$-vectors. Several interesting examples and open problems are discussed.
%U http://arxiv.org/abs/1403.7144v2