Metabolic and hyperbolic forms from knot theory (Q1824911)

Every (2q-1)-knot gives rise to a \((-1)^{q-1}-\)Hermitian form (the Blanchfield pairing), which can also be described as a \((-1)^ q- \)quadratic form equipped with an isometry (the Seifert pairing). From these pairings various well-known signatures arise; for example, the Milnor signatures and the Tristram-Levine signatures. Working with field coefficients, the author analyses the relationships between these signatures, and the conditions that they must satisfy when the knot is slice or double-slice.