Contact topology from the view point of round surgery
Project/Area Number |
25400077
|
Research Category |
Grant-in-Aid for Scientific Research (C)
|
Allocation Type | Multi-year Fund |
Section | 一般 |
Research Field |
Geometry
|
Research Institution | Hokkaido University |
Principal Investigator |
Adachi Jiro 北海道大学, 理学研究院, 理学研究院研究員 (20374184)
|
Project Period (FY) |
2013-04-01 – 2018-03-31
|
Project Status |
Completed (Fiscal Year 2017)
|
Budget Amount *help |
¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
Fiscal Year 2016: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2015: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2014: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2013: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
|
Keywords | 接触構造 / ラウンド手術 / 過旋性 / シンプレクティック充填可能性 |
Outline of Final Research Achievements |
Contact structure is an important geometric structure, that is related to classical mechanics and optics. Apart from such a historical background, the study of contact structure as a pure geometric structure has been remarkably developed recently from the view point of differential topology. In this research project, I applied the "round surgery" method to contact manifolds, that was used for other studies. As a result, I extended the studies which had been mainly done on contact structures of the first order on 3-dimensional manifolds to the cases of higher-dimension and higher-order. It is expected that various studies will be developed by using this method.
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Report
(6 results)
Research Products
(27 results)