Higher-order linking forms for 3-manifolds

Constance Leidy

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arXiv · 1204.5167

Higher-order linking forms for 3-manifolds

Constance Leidy

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Abstract

Given a closed, oriented, connected 3-manifold, M, we define higher-order linking forms on the higher-order Alexander modules of M. These higher-order linking forms generalize similar linking forms for knots previously studied by the author, which were themselves generalizations of the classical Blanchfield linking form for a knot. We also investigate the effect of the construction known as "infection by a knot" on these linking forms.

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Constance Leidy. 2012-04-23. Higher-order linking forms for 3-manifolds. https://arxiv.org/abs/1204.5167

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