The effect of mutation on link concordance, 3-manifolds and the Milnor invariants

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dc.creatorCha, Jae Choon
dc.date2001-09-19
dc.date.accessioned2026-07-07T04:43:27Z
dc.date.available2026-07-07T04:43:27Z
dc.descriptionWe study the effect of mutation on link concordance and 3-manifolds. We show that the set of links concordant to sublinks of homology boundary links is not closed under positive mutation. We show that mutation does not preserve homology cobordism classes of 3-manifolds. A significant consequence is that there exist 3-manifolds which have the same quantum SU(2)-invariants but are not homology cobordant. These results are obtained by investigating the effect of mutation on the Milnor invariants, or equivalently the Massey products.
dc.description17 pages, 11 figures
dc.identifierhttps://arxiv.org/abs/math/0109134
dc.identifierhttp://arxiv.org/abs/math/0109134
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62228
dc.subjectGeometric Topology
dc.subject57M25, 57M27
dc.titleThe effect of mutation on link concordance, 3-manifolds and the Milnor invariants
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