| Budget Amount *help |
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2018: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2017: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2016: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
|
|---|
| Outline of Final Research Achievements |
I studied various problems related to low-dimensional topology inspired by invariant group orderings. In joint works with Keiko Kawamuro (Univ. Iowa) we established a theory of open book foliation and constructed a mthod to study contact 3-manifolds by topological method. In particular, we studied the relation between Fractional Dehn twist coefficients (FDTC), a quantity closely related to orderings of braid groups or mapping class groups, and topology or contact structures. We also studied isolated orderings, and a condition to exist (not to exist) geeralized torsion elements or bi-ordering on 3-manifold groups.
|
