| Budget Amount *help |
¥5,200,000 (Direct Cost: ¥4,000,000、Indirect Cost: ¥1,200,000)
Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2013: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2012: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
|
|---|
| Outline of Final Research Achievements |
With J. E. Andersen from conformal field theory I constructed modular functors, which give invariants of 3-manifolds. When the gauge group is sl(n,C) we proved that the invariants of 3-manifolds are the same to the those constructed by Reshetikhin and Turaev. We also show that the projectively flat connection of the conformal field theory coincides with the one defined by Hitchin when the gauge group is sl(2,C) and level 1. This was the only exceptional case that the isomorphism was not known.
Also in characteristic p >0 multiple fibers pF whose underling configurations F are degenerations of curves of genus 2 were constructed.
|
