| Budget Amount *help |
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2014: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2013: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2012: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Outline of Final Research Achievements |
We studied spatial graph theory, that is a research of graphs embedded in 3-space from a viewpoint of low dimensional topology. More concretely, we have the following results: (1) We gave a homotopy classification theorem for two-component spatial graphs up to neighborhood equivalence by the elementary divisor-type invariant. (2) We gave an application of reduced Wu invariants of spatial graphs to the research of the intrinsic symmetry for graphs. (3) We studied twisted Alexander invariants of spatial graphs and obtained some results about classification problem for spatial graphs. (4) We obtained the results about the intrinsic knottedness for the Heawood graph.
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