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Surgery on a single clasper and the 2-loop part of the Kontsevich integral | Julien Marche
; | Date: |
11 Oct 2004 | Subject: | Geometric Topology MSC-class: 57M27 | math.GT | Abstract: | We 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. | Source: | arXiv, math.GT/0410272 | Services: | Forum | Review | PDF | Favorites |
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