Concordance invariants from higher order covers

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dc.creatorJabuka, Stanislav
dc.date2008-09-05
dc.date.accessioned2026-07-07T10:01:04Z
dc.date.available2026-07-07T10:01:04Z
dc.descriptionWe generalize the Manolescu-Owens smooth concordance invariant delta(K) of knots K in the 3-sphere to invariants delta_{p^n}(K) obtained by considering covers of order p^n, with p prime. Our main result shows that for any odd prime p, the direct sum of delta_{p^n} as n ranges through the natural numbers, yields a homomorphism of infinite rank from the smooth concordance group to Z^\infty. We also show that unlike delta, these new invariants typically are not multiples of the knot signature, even for alternating knots. A significant portion of the article is devoted to exploring examples.
dc.description23 pages, 9 figures
dc.identifierhttps://arxiv.org/abs/0809.1088
dc.identifierhttp://arxiv.org/abs/0809.1088
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/168518
dc.subjectGeometric Topology
dc.subjectAlgebraic Topology
dc.subject57M25, 57M10
dc.titleConcordance invariants from higher order covers
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