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Vanishing of a certain kind of Vassiliev invariants of 2-knots
Author(s):
Seiichi
Kamada
Journal:
Proc. Amer. Math. Soc.
127
(1999),
3421-3426.
MSC (1991):
Primary 57Q45, 57M25
Posted:
May 27, 1999
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Abstract:
In knot theory, Vassiliev's 1-knot invariants are defined in a combinatorial way as finite type invariants. By a natural generalization of the combinatorial definition, one has a certain family of 2-knot invariants, which should be called finite type 2-knot invariants. They form a subspace of the whole space of ``Vassiliev 2-knot invariants''. In this paper we prove that it is 1-dimensional.
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Additional Information:
Seiichi
Kamada
Affiliation:
Department of Mathematics, Osaka City University, Sumiyoshi-ku, Osaka 558, Japan
Email:
kamada@sci.osaka-cu.ac.jp
DOI:
10.1090/S0002-9939-99-04924-2
PII:
S 0002-9939(99)04924-2
Keywords:
2-knot,
Vassiliev invariant,
finite type invariant,
finger move,
regular homotopy
Received by editor(s):
May 22, 1997
Received by editor(s) in revised form:
February 1, 1998
Posted:
May 27, 1999
Communicated by:
Ronald A. Fintushel
Copyright of article:
Copyright
1999,
American Mathematical Society
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