Budget Amount *help |
¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
Fiscal Year 2015: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2014: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2013: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
|
Outline of Final Research Achievements |
In this research project, we study the face numbers of polytopes and cell complexes. The followings are main results of this project. (1) We find new method to study the cd-index of a convex polytope by using commutative algebra, and by applying this new method, we find new upper bounds of the cd-index. (2) We find new applications of polyhedral Morse inequality and graded Betti numbers to the study of face numbers of triangulated manifolds.
|