| Budget Amount *help |
¥3,510,000 (Direct Cost: ¥2,700,000、Indirect Cost: ¥810,000)
Fiscal Year 2013: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2012: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2011: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Research Abstract |
For a finite Galois covering of a compact Riemann surface with a monodromy group G, we constructed cocycles representing the characteristic classes (Mumford-Morita-Miller classes) associated with a Galois covering, by using transfer homomorphisms in group cohomology and Kawazumi-Uemura formula. In addition, we construct mod p cocycles for such classes by using "periodicity phenomena" and Steenrod operations. Moreover, we prove a vanishing theorem for p-local homology of Coxeter groups. The key ingredient was equivariant homology of Coxeter complexes.
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