| Project/Area Number |
14540078
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (C)
|
| Allocation Type | Single-year Grants |
|---|
| Section | 一般 |
|---|
| Research Field |
Geometry
|
|---|
| Research Institution | KOBE UNIVERSITY |
|---|
Principal Investigator |
NAKANISHI Yasutaka Kobe University, Faculty of Science, Professor, 理学部, 教授 (70183514)
|
|---|
| Co-Investigator(Kenkyū-buntansha) |
OHYAMA Yoshiyuki Tokyo Woman's Christian University University, College of Arts and of Sciences, Associate Professor, 文理学部, 助教授 (80223981)
IKEDA Hiroshi Kobe University, Faculty of Science, Professor, 理学部, 教授 (10031353)
|
|---|
| Project Period (FY) |
2002 – 2003
|
| Project Status |
Completed (Fiscal Year 2003)
|
| Budget Amount *help |
¥2,600,000 (Direct Cost: ¥2,600,000)
Fiscal Year 2003: ¥1,200,000 (Direct Cost: ¥1,200,000)
Fiscal Year 2002: ¥1,400,000 (Direct Cost: ¥1,400,000)
|
|---|
| Keywords | Link / Conway polynomial / Local move / Vassiliev invarisnt / Link homotopy |
|---|
| Research Abstract |
1.A necessary condition for two links to be transformed into each other by a finite sequence of self Δ moves is given by two integral invariants induced from the Conway polynomial.
2.The above necessary condition is also a sufficient condition for a class of 2 component links.
3.By the above condition, all two component links with 7 crossings or less are classified and the smallest numbers of self A moves which transforms one link into another in each class are determined.
|
