| Budget Amount *help |
¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000)
Fiscal Year 2013: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2012: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Research Abstract |
Generalized Dehn twists are defined for loops on a surface which may have self intersections. Generalized Dehn twists suggest the importance of the self intersections of loops on a surface in the study of the mapping class group. The present project studied the mapping class group of a surface using generalized Dehn twists and the Goldman-Turaev Lie bialgebra, which is a notion behind generalized Dehn twists. Also it investigated the homological Goldman Lie algebra and fatgraph complexes, and obtained several results.
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