| Co-Investigator(Renkei-kenkyūsha) |
OHNITA Yoshihiro 大阪市立大学, 理学研究科, 教授 (90183764)
MAEDA Yoshiaki 東北大学, 知の創出センター, 副センター長 (40101076)
SERGEI V Ketov 首都大学東京, 理工学研究科, 准教授 (70347269)
SAKAI Takashi 首都大学東京, 理工学研究科, 准教授 (30381445)
OTOFUJI Takashi 日本大学, 工学部, 准教授 (70339266)
AKAHO Manabu 首都大学東京, 理工学研究科, 准教授 (30332935)
KOBAYASHI Shimpei 北海道大学, 理学研究科, 准教授 (40408654)
IRITANI Hiroshi 京都大学, 理学研究科, 教授 (20448400)
HOSONO Shinobu 学習院大学, 理学部, 教授 (60212198)
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| Budget Amount *help |
¥28,990,000 (Direct Cost: ¥22,300,000、Indirect Cost: ¥6,690,000)
Fiscal Year 2017: ¥4,940,000 (Direct Cost: ¥3,800,000、Indirect Cost: ¥1,140,000)
Fiscal Year 2016: ¥7,150,000 (Direct Cost: ¥5,500,000、Indirect Cost: ¥1,650,000)
Fiscal Year 2015: ¥5,200,000 (Direct Cost: ¥4,000,000、Indirect Cost: ¥1,200,000)
Fiscal Year 2014: ¥6,240,000 (Direct Cost: ¥4,800,000、Indirect Cost: ¥1,440,000)
Fiscal Year 2013: ¥5,460,000 (Direct Cost: ¥4,200,000、Indirect Cost: ¥1,260,000)
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| Outline of Final Research Achievements |
A series of methods for solving the tt*-Toda equations were developed during the course of this project. These methods used p.d.e. theory, integrable systems theory, and Lie theory. Our main results were achieved for the tt*-Toda equations of type A_n. Here we give a complete treatment of the solutions and their asymptotic data and monodromy data. A more abstract approach was used in the case n=1, in order to describe the moduli space of solutions. These results were motivated in part by the special solutions corresponding to quantum cohomology rings of Kaehler manifolds. In order to promote research in this area, a number of conferences, workshops, and seminars by specialists were organised.
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