2003 Fiscal Year Final Research Report Summary
Research for Specialization of Link Homotopy and Finite Type Invariants
| Project/Area Number |
14540078
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Geometry
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| Research Institution | KOBE UNIVERSITY |
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Principal Investigator |
NAKANISHI Yasutaka Kobe University, Faculty of Science, Professor, 理学部, 教授 (70183514)
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| 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)
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| Project Period (FY) |
2002 – 2003
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| Keywords | Link / Conway polynomial / Local move / Vassiliev invarisnt / Link homotopy |
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| 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.
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Research Products
(8 results)
