Twisted Blanchfield pairings and symmetric chain complexes

Powell, M. (2016) Twisted Blanchfield pairings and symmetric chain complexes. Quarterly Journal of Mathematics, 67(4), pp. 715-742. (doi: 10.1093/qmath/haw028)

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We define the twisted Blanchfield pairing of a symmetric triad of chain complexes over a group ring ℤ[π]⁠, together with a unitary representation of π over an Ore domain with involution. We prove that the pairing is sesquilinear, and we prove that it is hermitian and non-singular 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.

Item Type:Articles
Glasgow Author(s) Enlighten ID:Powell, Dr Mark
Authors: Powell, M.
Subjects:Q Science > QA Mathematics
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Quarterly Journal of Mathematics
Publisher:Oxford University Press
ISSN (Online):1464-3847
Published Online:30 November 2016
Copyright Holders:Copyright © 2016 Oxford University Press
First Published:First published in Quarterly Journal of Mathematics 67(4): 715-742
Publisher Policy:Reproduced in accordance with the publisher copyright policy

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