| Budget Amount *help |
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2018: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2017: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2016: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2015: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2014: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
|
|---|
| Outline of Final Research Achievements |
Following the closed connection between Teichmuller modular subgroups and geometric Coxeter groups,
we constructed pseudo-Anosov mappings from Coxeter systems and considered their growth rates. Our Coxeter systems were obtained from affine Coxeter diagrams by adding one edge. Taking the double coverings of these diagrams, we showed that our Coxeter systems belong to hyperbolic class when the number of vertices of diagrams are less than or equal to 8, while they belong to higher rank class when the number of vertices of diagrams are more than or equal to 10. As an application of our result, we can construct a series of pseudo-Anosov mappings whose growth rates are 2-Salem numbers.
|
