Twisted Blanchfield pairings and symmetric chain complexes

Mark Powell

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arXiv · 1605.06800

Twisted Blanchfield pairings and symmetric chain complexes

Mark Powell

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Abstract

We define the twisted Blanchfield pairing of a symmetric triad of chain complexes over a group ring Z[G], together with a unitary representation of G over an Ore domain with involution. We prove that the pairing is sesquilinear, and we prove that it is hermitian and nonsingular under certain extra conditions. A twisted Blanchfield pairing is then associated to a 3-manifold together with a decomposition of its boundary into two pieces and a unitary representation of its fundamental group.

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Mark Powell. 2016-05-22. Twisted Blanchfield pairings and symmetric chain complexes. https://arxiv.org/abs/1605.06800

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