Twisted cohomology pairings of knots I; diagrammatic computation |
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Authors: | Takefumi Nosaka |
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Institution: | 1.Faculty of Mathematics,Kyushu University,Fukuoka,Japan |
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Abstract: | We provide a diagrammatic computation for the bilinear form, which is defined as the pairing between the (relative) cup products with every local coefficients and every integral homology 2-class of every link in the 3-sphere. As a corollary, we construct bilinear forms on the twisted Alexander modules of links. |
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