| Budget Amount *help |
¥10,270,000 (Direct Cost: ¥7,900,000、Indirect Cost: ¥2,370,000)
Fiscal Year 2020: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Fiscal Year 2019: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Fiscal Year 2018: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2017: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2016: ¥2,210,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥510,000)
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| Outline of Final Research Achievements |
A mock modular form is defined as a holomorphic part of the harmonic Maass forms. A typical example is the Ramanujan mock theta function, which has a weight 1/2 mock modular form. It is originally related to the integer partition. Recently it is recognized that mock modular form plays an important role in quantum topology. In the present research, we studied quantum modular form by use of the cluster algebra and the double affine Hecke algebra, and clarified new aspects of quantum invariants.
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