Fruedk, S., Leidy, C., Nagel, M. and Powell, M. (2017) Twisted Blanchfield pairings and decompositions of 3-manifolds. Homology, Homotopy and Applications, 19(2), pp. 275-287. (doi: 10.4310/HHA.2017.v19.n2.a14)
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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.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Powell, Dr Mark |
| Authors: | Fruedk, S., Leidy, C., Nagel, M., and Powell, M. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Homology, Homotopy and Applications |
| Publisher: | International Press |
| ISSN: | 1532-0073 |
| ISSN (Online): | 1532-0081 |
| Published Online: | 22 November 2017 |
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