A survey of subdivisions and local $h$-vectors
Combinatorics
2015-10-20 v2
Abstract
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 -vector of a simplicial complex. A key role there is played by the concept of a local -vector. This paper surveys some of the highlights of this theory and some recent developments, concerning subdivisions of flag homology spheres and their -vectors. Several interesting examples and open problems are discussed.
Keywords
Cite
@article{arxiv.1403.7144,
title = {A survey of subdivisions and local $h$-vectors},
author = {Christos A. Athanasiadis},
journal= {arXiv preprint arXiv:1403.7144},
year = {2015}
}
Comments
13 pages, 3 figures; minor changes and updates