On the Existence of Finite Type Link Homotopy Invariants

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dc.creatorMellor, Blake
dc.creatorThurston, Dylan
dc.date2000-10-21
dc.date.accessioned2026-07-07T04:38:10Z
dc.date.available2026-07-07T04:38:10Z
dc.descriptionWe show that for links with at most 5 components, the only finite type homotopy invariants are products of the linking numbers. In contrast, we show that for links with at least 9 components, there must exist finite type homotopy invariants which are not products of the linking numbers. This corrects previous errors of the first author.
dc.description13 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/math/0010206
dc.identifierhttp://arxiv.org/abs/math/0010206
dc.identifierJournal of Knot Theory and its Ramifications, vol. 10, no. 7, 2001, pp. 1025-1040
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60175
dc.subjectGeometric Topology
dc.subject57M27
dc.titleOn the Existence of Finite Type Link Homotopy Invariants
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