Friedl, Stefan and Leidy, Constance and Nagel, Matthias and Powell, Mark (2017) TWISTED BLANCHFIELD PAIRINGS AND DECOMPOSITIONS OF 3-MANIFOLDS. HOMOLOGY HOMOTOPY AND APPLICATIONS, 19 (2). pp. 275-287. ISSN 1532-0073, 1532-0081
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We prove a decomposition formula for twisted Blanchfield pairings of 3-manifokls. As an application we show that the twisted Blanchfield pairing of a 3-manifold obtained from a 3-manifold Y with a representation ?: Z[pi(1)(Y)]-> R, infected by a knot J along a curve eta with ?(eta)not equal 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 11.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | KNOT CONCORDANCE; INVARIANTS; OPERATORS; twisted Blanchfield pairing; infection by a knot |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Stefan Friedl |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 14 Dec 2018 13:01 |
| Last Modified: | 28 Feb 2019 07:19 |
| URI: | https://pred.uni-regensburg.de/id/eprint/581 |
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