Some New Invariants of Links.
Sadayoshi Kojima, Masyuki Yamasaki (1979)
Inventiones mathematicae
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Sadayoshi Kojima, Masyuki Yamasaki (1979)
Inventiones mathematicae
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Paolo Lisca (1995)
Inventiones mathematicae
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V.G. Turaev (1988)
Inventiones mathematicae
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T.D. Cochran (1987)
Inventiones mathematicae
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T.D. Cochran (1985)
Inventiones mathematicae
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Kent E. Orr (1989)
Inventiones mathematicae
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Fogarty, John (2001)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Hans Wenzl (1993)
Inventiones mathematicae
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Yuka Kotorii (2014)
Fundamenta Mathematicae
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We define finite type invariants for cyclic equivalence classes of nanophrases and construct universal invariants. Also, we identify the universal finite type invariant of degree 1 essentially with the linking matrix. It is known that extended Arnold basic invariants to signed words are finite type invariants of degree 2, by Fujiwara's work. We give another proof of this result and show that those invariants do not provide the universal one of degree 2.
Paul Melvin, Robion Kirby (1991)
Inventiones mathematicae
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