Topology, contact geometry, and fundamental group of 3-manifolds from open book decomposition
| Project/Area Number |
25887030
|
|---|
| Research Category |
Grant-in-Aid for Research Activity Start-up
|
| Allocation Type | Single-year Grants |
|---|
| Research Field |
Geometry
|
|---|
| Research Institution | Kyoto University |
|---|
Principal Investigator |
ITO Tetsuya 京都大学, 数理解析研究所, 助教 (00710790)
|
|---|
| Project Period (FY) |
2013-08-30 – 2015-03-31
|
| Project Status |
Completed (Fiscal Year 2014)
|
| Budget Amount *help |
¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2014: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2013: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
|
|---|
| Keywords | 三次元多様体 / 接触幾何 / 組みひも群 / オープンブック分解 / ３次元トポロジー |
|---|
| Outline of Final Research Achievements |
A contact 3-manifold is presented by using the mapping class group by using an open book decomposition. By using open book decomposition we develop a method to study contact 3-manifolds in more topological way. As products, we showed that an overtwisted disc can be put in a good position so that it essentially intersects with pages of open books, and obtain a generalization of Jones' conjecture concerning the algebraic linking number and braid indices.
|
Report
(3 results)
Research Products
(13 results)
