Twisted Blanchfield pairings and decompositions of 3-manifolds

Friedl, Stefan; Leidy, Constance; Nagel, Matthias; Powell, Mark

Abstract

We prove a decomposition formula for twisted Blanchfield pairings of 3-manifolds. As an application we show that the twisted Blanchfield pairing of a 3-manifold obtained from a 3-manifold Y with a representation ϕ:Z[π1(Y)]→R, infected by a knot J along a curve η with ϕ(η)≠1, splits orthogonally as the sum of the twisted Blanchfield pairing of Y and the ordinary Blanchfield pairing of the knot J, with the latter tensored up from Z[t,t−1] to R.

Citation

Friedl, S., Leidy, C., Nagel, M., & Powell, M. (2017). Twisted Blanchfield pairings and decompositions of 3-manifolds. Homology, Homotopy and Applications, 19(2), 275-287. https://doi.org/10.4310/hha.2017.v19.n2.a14

• Journal Article Type: Article
• Online Publication Date: Nov 22, 2017
• Publication Date: Nov 22, 2017
• Deposit Date: Oct 3, 2017
• Publicly Available Date: Mar 12, 2018
• Journal: Homology, Homotopy and Applications
• Print ISSN: 1532-0073
• Electronic ISSN: 1532-0081
• Publisher: International Press
• Peer Reviewed: Peer Reviewed
• Volume: 19
• Issue: 2
• Pages: 275-287
• DOI: https://doi.org/10.4310/hha.2017.v19.n2.a14
• Public URL: https://durham-repository.worktribe.com/output/1375055
• Related Public URLs: https://arxiv.org/abs/1602.00140