| Budget Amount *help |
¥3,380,000 (Direct Cost: ¥2,600,000、Indirect Cost: ¥780,000)
Fiscal Year 2011: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2009: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Research Abstract |
(1) We obtained the result about Alexander invariants of spatial graphs, in particular, the elementary ideals of Alexander matrix with respect to a homomorphism from the fundamental group of the spatial graph complement to the infinite cyclic group.(2) We gave several classification theorems for spatial theta curves and spatial complete graph on four vertices by the finite type invariants.(3) We obtained the result about the intrinsic knottedness and linkedness for graphs, in particular, an integer-version of the Conway-Gordon type theorem and a new kind of intrinsic nontriviality for graphs.
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