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The Casson-Walker-Lescop Invariant and Link Invariants | | Jeff Johannes
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11 Jul 2000 | | Subject: | Geometric Topology; Number Theory MSC-class: 57M (primary), 11 (secondary) | math.GT math.NT | | Abstract: | Formulas previously presented for the Casson-Walker invariant are generalized to Lescop’s extension. These formulas in terms of linking numbers and surgery coefficients compute the change in Lescop’s invariant under crossing changes in a framed link presenting a 3-manifold. This leads us to revisit an old formula for a coefficient of the Conway polynomial. Finally we compute Lescop’s invariant of several lens spaces and deduce some values for Dedekind sums. | | Source: | arXiv, math.GT/0007064 | | Services: | Forum | Review | PDF | Favorites | |
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