Twisted Blanchfield pairings and symmetric chain complexes
Geometric Topology
2016-09-13 v3 Algebraic Topology
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.
Keywords
Cite
@article{arxiv.1605.06800,
title = {Twisted Blanchfield pairings and symmetric chain complexes},
author = {Mark Powell},
journal= {arXiv preprint arXiv:1605.06800},
year = {2016}
}
Comments
26 pages. Version 2: the introduction has been rewritten and a new application has been added in the final section. To appear in Quarterly Journal of Math