Finite knot modules and the factorization of certain simple knots

DOI10.1007/BF01458289zbMath0449.57003MaRDI QIDQ1147403

Jonathan A. Hillman

Publication date: 1981

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163556

zbMATH Keywords

Levine pairingsHermitian pairingcompletions of knot modulesfactorization of simple even dimensional knotssemisimple finite knot modules

Mathematics Subject Classification ID

Related Items (6)

Growth rates of \(n\)-knots ⋮ CALCULATION OF DIHEDRAL QUANDLE COCYCLE INVARIANTS OF TWIST SPUN 2-BRIDGE KNOTS ⋮ Quandle cohomology and state-sum invariants of knotted curves and surfaces ⋮ State-sum invariants of knotted curves and surfaces from quandle cohomology ⋮ Doubly Slice Knots and the Casson-Gordon Invariants ⋮ On the crossing number of positive knots and braids and braid index criteria of Jones and Morton-Williams-Franks

Cites Work

• Classification of simple knots by Levine pairings
• Algebraic structure of knot modules
• Factorisation is not unique for higher dimensional knots
• Quadratic forms on finite groups, and related topics
• Knot Modules. I
• DUALITY IN AN INFINITE CYCLIC COVERING AND EVEN-DIMENSIONAL KNOTS
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