| Co-Investigator(Kenkyū-buntansha) |
YOSHIDA Tomoyoshi 東京工業大学, 大学院理工学研究科, 教授 (60055324)
KIN Eiko 東京工業大学, 大学院情報理工学研究科, 准教授 (80378554)
TAKASAWA Mitsuhiko 東京工業大学, 大学院情報理工学研究科, 助教 (80323822)
SAKASAI Takuya 東京工業大学, 大学院理工学研究科, 助教 (60451902)
FUJIWARA Koji 東北大学, 大学院情報科学研究科, 教授 (60229078)
UE Masaaki 京都大学, 大学院理学研究科, 教授 (80134443)
ISHIKAWA Goo 北海道大学, 大学院理学研究科, 教授 (50176161)
KAWASUMI Nariya 東京大学, 大学院数理科学研究科, 准教授 (30214646)
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| Budget Amount *help |
¥40,040,000 (Direct Cost: ¥30,800,000、Indirect Cost: ¥9,240,000)
Fiscal Year 2014: ¥7,410,000 (Direct Cost: ¥5,700,000、Indirect Cost: ¥1,710,000)
Fiscal Year 2013: ¥7,670,000 (Direct Cost: ¥5,900,000、Indirect Cost: ¥1,770,000)
Fiscal Year 2012: ¥7,410,000 (Direct Cost: ¥5,700,000、Indirect Cost: ¥1,710,000)
Fiscal Year 2011: ¥7,930,000 (Direct Cost: ¥6,100,000、Indirect Cost: ¥1,830,000)
Fiscal Year 2010: ¥9,620,000 (Direct Cost: ¥7,400,000、Indirect Cost: ¥2,220,000)
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| Outline of Final Research Achievements |
Based on the role of genus in surface topology, we planned to develop the 3-manifold topology by bridging three concepts, geometric structures, topological invariants and computing，and to obtain fundamental results on several topics which are supposed to appear in the standard textbooks of 3-manifold theory in 10 years. We then have obtained in the last 5 years a few fundamental results on the geometric structures and geometric group theory, on the invariants coming from 1 or 2 dimensional objects and on computational topology. Among them, the comparison study for entropy of surface automorphisms and simplicial volume of their maping tori could be featured.
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