FINITE TYPE INVARIANTS AND MILNOR INVARIANTS FOR BRUNNIAN LINKS
2008 ◽
Vol 19
(06)
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pp. 747-766
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Keyword(s):
A link L in the 3-sphere is called Brunnian if every proper sublink of L is trivial. In a previous paper, Habiro proved that the restriction to Brunnian links of any Goussarov–Vassiliev finite type invariant of (n + 1)-component links of degree < 2n is trivial. The purpose of this paper is to study the first nontrivial case. We show that the restriction of an invariant of degree 2n to (n + 1)-component Brunnian links can be expressed as a quadratic form on the Milnor link-homotopy invariants of length n + 1.
2000 ◽
Vol 09
(06)
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pp. 735-758
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Keyword(s):
1999 ◽
Vol 08
(06)
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pp. 773-787
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Keyword(s):
2007 ◽
Vol 142
(3)
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pp. 459-468
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2003 ◽
Vol 12
(03)
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pp. 375-393
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Keyword(s):
2013 ◽
Vol 22
(08)
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pp. 1350042
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2004 ◽
Vol 13
(01)
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pp. 1-11
2006 ◽
Vol 15
(09)
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pp. 1163-1199
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2008 ◽
Vol 17
(02)
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pp. 213-230
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Keyword(s):
2016 ◽
Vol 27
(11)
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pp. 1650090
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2013 ◽
Vol 22
(08)
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pp. 1350037