| Budget Amount *help |
¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2014: ¥390,000 (Direct Cost: ¥300,000、Indirect Cost: ¥90,000)
Fiscal Year 2013: ¥390,000 (Direct Cost: ¥300,000、Indirect Cost: ¥90,000)
Fiscal Year 2012: ¥390,000 (Direct Cost: ¥300,000、Indirect Cost: ¥90,000)
Fiscal Year 2011: ¥390,000 (Direct Cost: ¥300,000、Indirect Cost: ¥90,000)
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| Outline of Final Research Achievements |
First, I proved a basic property of the Chern character defined for a finite dimensional model of twisted K-theory, and gave an algebro-topological interpretation of so-called Mickelsson's invariant and its generalization. I also proved topological T-dualities for "Real" circle bundles, etc. Then, we classified "Real" and "Quaternionic" vector bundles in low dimension, and studied in detail the FKMM invariant that plays a basic role in the classification of "Quaternionic" bundles. Moreover, we introduced chiral vector bundles and carried out the same classification as above. We also computed twisted K-thoery to discover a new topological insulating phenomena classified by Z/2.
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