Lappo-Danilevski systems under Lyapunov transformations.
Mazanik, S.A. (1998)
Memoirs on Differential Equations and Mathematical Physics
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Displaying similar documents to “On formal theory of differential equations. I.”
Lappo-Danilevski systems under Lyapunov transformations.
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We show that the coefficients of the re-normalized link invariants of [3] are Vassiliev invariants which give rise to a canonical family of weight systems.
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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.
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