Research of the topology on spatial graphs and algebraic invariants
Project/Area Number |
24540094
|
Research Category |
Grant-in-Aid for Scientific Research (C)
|
Allocation Type | Multi-year Fund |
Section | 一般 |
Research Field |
Geometry
|
Research Institution | Tokyo Woman's Christian University |
Principal Investigator |
NIKKUNI Ryo 東京女子大学, 現代教養学部, 准教授 (00401878)
|
Project Period (FY) |
2012-04-01 – 2015-03-31
|
Project Status |
Completed (Fiscal Year 2014)
|
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)
|
Keywords | 低次元トポロジー / 空間グラフ / 結び目 / 絡み目 / ハンドル体 / 不変量 / ねじれAlexander不変量 / 国際研究者交流 / 国際情報交換 / 韓国 / Wu不変量 / 内在的キラル / アメリカ / 結び目内在 / 近傍同値 |
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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Report
(4 results)
Research Products
(22 results)