Twisted Blanchfield pairings and twisted signatures III: Applications

Borodzik, Maciej; Conway, Anthony; Politarczyk, Wojciech

doi:10.1017/S0017089524000077

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Journal Article

Twisted Blanchfield pairings and twisted signatures III: Applications

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Conway, Anthony
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.48550/arXiv.2111.10631
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https://doi.org/10.1017/S0017089524000077
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Borodzik-Conway-Politarczyk_Twisted Blanchfield pairings and twisted signatures III_Applications_2024.pdf
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Citation

Borodzik, M., Conway, A., & Politarczyk, W. (2024). Twisted Blanchfield pairings and twisted signatures III: Applications. Glasgow Mathematical Journal, (3), 501-540. doi:10.1017/S0017089524000077.

Cite as: https://hdl.handle.net/21.11116/0000-000F-392A-3

Abstract

This paper describes how to compute algorithmically certain twisted signature invariants of a knot K using twisted Blanchfield forms. An illustration of the algorithm is implemented on (2,q)-torus knots. Additionally, using satellite formulas for these invariants, we also show how to obstruct the sliceness of certain iterated torus knots.