Abstract
Gil Kalai introduced the shifting-theoretic upper bound relation to characterize the f-vectors of Gorenstein * complexes (or homology spheres) by using algebraic shifting. In the present paper, we study the shifting-theoretic upper bound relation. First, we will study the relation between exterior algebraic shifting and combinatorial shifting. Second, by using the relation above, we will prove that the boundary complex of cyclic polytopes satisfies the shifting theoretic upper bound relation. We also prove that the boundary complex of stacked polytopes satisfies the shifting-theoretic upper bound relation.
| Original language | English |
|---|---|
| Pages | 607-615 |
| Number of pages | 9 |
| Publication status | Published - 2006 Dec 1 |
| Externally published | Yes |
| Event | 18th Annual International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2006 - San Diego, CA, United States Duration: 2006 Jun 19 → 2006 Jun 23 |
Other
| Other | 18th Annual International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2006 |
|---|---|
| Country/Territory | United States |
| City | San Diego, CA |
| Period | 06/6/19 → 06/6/23 |
Keywords
- Combinatorial shifting
- Cyclic polytope
- Exterior shifting
- Stacked polytope
ASJC Scopus subject areas
- Algebra and Number Theory