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Linking forms revisited

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arxiv 1708.03754 v3 pith:E42JGTAR submitted 2017-08-12 math.GT

classification math.GT
keywords linkingformshomologymathbbrationalanti-beencompute
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abstract

We show that the $\mathbb{Q}/\mathbb{Z}$-valued linking forms on rational homology spheres are (anti-) symmetric and we compute the linking form of a 3-dimensional rational homology sphere in terms of a Heegaard splitting. Both results have been known to a larger or lesser degree, but it is difficult to find rigorous down-to-earth proofs in the literature.

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