Twisted cohomology pairings of knots I; diagrammatic computation
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🧮 math.GT
keywords
everybilinearcomputationdiagrammaticlinkstwistedalexanderclass
read the original 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 links in the 3-sphere. As a corollary, we construct bilinear forms on the twisted Alexander modules of links.
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