Derivatives of knots and second-order signatures

DOI10.2140/agt.2010.10.739zbMath1192.57005arXiv0808.1432OpenAlexW3103581048MaRDI QIDQ969663

Constance Leidy, Tim D. Cochran, Shelly L. Harvey

Publication date: 7 May 2010

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0808.1432

zbMATH Keywords

slice knotBlanchfield pairingCasson-Gordon invariant\(L^2\)-signaturehigher order signaturesnull-bordism

Mathematics Subject Classification ID

Related Items (9)

Counterexamples to Kauffman's conjectures on slice knots ⋮ Symmetric chain complexes, twisted Blanchfield pairings and knot concordance ⋮ Slice knots which bound punctured Klein bottles ⋮ A second order algebraic knot concordance group ⋮ Von Neumann rho invariants and torsion in the topological knot concordance group ⋮ A construction of slice knots via annulus modifications ⋮ Characterisation of homotopy ribbon discs ⋮ A higher-order genus invariant and knot Floer homology ⋮ A ribbon obstruction and derivatives of knots

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Higher-order linking forms for knots
• Knot concordance and von Neumann \(\rho\)-invariants
• Knot concordance and higher-order Blanchfield duality
• Link concordance and generalized doubling operators
• New constructions of slice links
• Invariants of link cobordism
• Alexander ideals of links
• Homology boundary links and Blanchfield forms: Concordance classification and new tangle-theoretic constructions
• Structure in the classical knot concordance group
• Knot concordance, Whitney towers and \(L^2\)-signatures
• Symmetric unions and ribbon knots
• Eta invariants as sliceness obstructions and their relation to Casson-Gordon invariants
• An infinite family of non-concordant knots having the same Seifert form
• Classical knot and link concordance
• Bounds on the von Neumann dimension of \(L^ 2\)-cohomoloy and the Gauss- Bonnet theorem for open manifolds
• Homological methods applied to the derived series of groups
• Noncommutative knot theory
• Higher-order polynomial invariants of 3-manifolds giving lower bounds for the Thurston norm
• Knot cobordism groups in codimension two
• SLICE KNOTS IN S³
• Homology and derived p -series of groups
• Cobordism of Knots and Blanchfield Duality
• An obstruction to slicing knots using the eta invariant
• Generalized Seifert surfaces and signatures of colored links

This page was built for publication: Derivatives of knots and second-order signatures