Abstract
We characterize the cd-indices of Gorenstein* posets of rank 5, equivalently the flag f-vectors of order complexes triangulating rational homology 3-spheres, and show they are also the characterization of the flag f-vectors of the subfamily of regular CW-complexes homeomorphic to the 3-sphere. As a corollary, we characterize the f-vectors of Gorenstein* order complexes in dimensions 3 and 4. This characterization gives rise to a speculated intimate connection between the f-vectors of flag homology spheres and the f-vectors of Gorenstein* order complexes.
| Original language | English |
|---|---|
| Pages (from-to) | 1527-1538 |
| Number of pages | 12 |
| Journal | Proceedings of the American Mathematical Society |
| Volume | 142 |
| Issue number | 5 |
| DOIs | |
| State | Published - 3 Mar 2014 |
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics