Metabolic and hyperbolic forms from knot theory

DOI10.1016/0022-4049(89)90040-6zbMath0683.57009OpenAlexW2064490062MaRDI QIDQ1824911

Jerome Levine

Publication date: 1989

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(89)90040-6

zbMATH Keywords

Hermitian formsignaturesslice knotBlanchfield pairingSeifert pairingdouble slice knot

Mathematics Subject Classification ID

Related Items (15)

Signature functions of knots ⋮ SOME INEQUALITIES BETWEEN KNOT INVARIANTS ⋮ Knot signature functions are independent ⋮ Some examples related to knot sliceness ⋮ Homotopy ribbon concordance, Blanchfield pairings, and twisted Alexander polynomials ⋮ Abelian invariants of doubly slice links ⋮ Twisted signatures of fibered knots ⋮ A lower bound for the doubly slice genus from signatures ⋮ Eta invariants as sliceness obstructions and their relation to Casson-Gordon invariants ⋮ Some applications of Tristram-Levine signatures and relation to Vassiliev invariants ⋮ Jumps of the eta-invariant. (With an appendix by Shmuel Weinberger: Rationality of \(\rho\)-invariants) ⋮ Signature invariants related to the unknotting number ⋮ The Levine-Tristram signature: a survey ⋮ Twisted Blanchfield pairings and twisted signatures. I: algebraic background ⋮ Distinguishing topologically and smoothly doubly slice knots

Cites Work

• Unnamed Item
• Algebraic structure of knot modules
• On the signature invariants of a non-singular complex sesquilinear form
• Knot cobordism groups in codimension two
• On isometries of inner product spaces
• Invertible knot cobordisms
• On S-equivalence of Seifert matrices
• Hermitian Signatures and Double-Null-Cobordism of Knots
• Cobordism of Knots and Blanchfield Duality
• Simple Knots Which are Doubly-Null-Cobordant

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