| Budget Amount *help |
¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
Fiscal Year 2012: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2011: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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| Research Abstract |
The study of face vectors of simplicial complexes and simplicial cell complexes is a current trend in combinatorics. In particular, face vectors of triangulated spheres and manifolds has been of great interest in this research area. In this research project, we get the following results on this topic. (1) characterizations of face vectors of simplicial cell decompositions of products of spheres and those of balls (2) solution of the generalized lower bound conjecture for simplicial polytopes.
The second result sovles a conjecture of McMullen and Walkup in 1971.
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