Surgery on a single clasper and the 2-loop part of the Kontsevich integral

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dc.creatorMarche, Julien
dc.date2004-10-11
dc.date.accessioned2026-07-07T05:13:10Z
dc.date.available2026-07-07T05:13:10Z
dc.descriptionWe study the 2-loop part of the rational Kontsevich integral of a knot in an integer homology sphere. We give a general formula which explains how the 2-loop part of the Kontsevich integral of a knot changes after surgery on a single clasper whose leaves are not linked to the knot. As an application, we relate this formula with a conjecture of L. Rozansky about integrality of the 2-loop polynomial of a knot.
dc.description15 pages, 9 figures
dc.identifierhttps://arxiv.org/abs/math/0410272
dc.identifierhttp://arxiv.org/abs/math/0410272
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72847
dc.subjectGeometric Topology
dc.subject57M27
dc.titleSurgery on a single clasper and the 2-loop part of the Kontsevich integral
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