| Budget Amount *help |
¥43,160,000 (Direct Cost: ¥33,200,000、Indirect Cost: ¥9,960,000)
Fiscal Year 2017: ¥8,450,000 (Direct Cost: ¥6,500,000、Indirect Cost: ¥1,950,000)
Fiscal Year 2016: ¥8,450,000 (Direct Cost: ¥6,500,000、Indirect Cost: ¥1,950,000)
Fiscal Year 2015: ¥8,450,000 (Direct Cost: ¥6,500,000、Indirect Cost: ¥1,950,000)
Fiscal Year 2014: ¥8,450,000 (Direct Cost: ¥6,500,000、Indirect Cost: ¥1,950,000)
Fiscal Year 2013: ¥9,360,000 (Direct Cost: ¥7,200,000、Indirect Cost: ¥2,160,000)
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| Outline of Final Research Achievements |
A. We show that the generating function for the flat (Frobenius) structure associated with a primitive form coincides with the generating function counting the Witten invariant in FJRW-theory for the 14 unimodular exceptional singularities.
B. We determined the inversion formula for growth function of a cancellative monoid which may not necessaryily be a lattice. In particular, in case of dual Artin monoids, T. Ishibe found some orthogonal polynomial-like behavior of their real roots.
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