Algebraic Structure of Knot Modules
Levine, Jerome P.
Algebraic Structure of Knot Modules [electronic resource] / by Jerome P. Levine. - XIV, 110 p. online resource. - Lecture Notes in Mathematics, 772 0075-8434 ; . - Lecture Notes in Mathematics, 772 .
The derived exact sequences -- Finite modules -- Realization of finite modules -- ?i of finite modules -- Product structure on finite modules -- Classification of derived product structure -- Rational invariants -- Z-torsion-free modules -- ?-only torsion -- Statement of realization theorem -- Inductive construction of derived sequences -- Inductive recovery of derived sequences -- Homogeneous and elementary modules -- Realization of elementary modules -- Classification of elementary modules -- Completion of proof -- Classification of ?-primary modules -- Classification fails in degree 4 -- Product structure on ?-primary modules -- Classification of product structure -- Realization of product structure on homogeneous modules -- Product structure on semi-homogeneous modules -- A non-semi-homogeneous module -- Rational classification of product structure -- Non-singular lattices over a Dedekind domain -- Norm criterion for a non-singular lattice -- Dedekind criterion: p-adic reduction -- A computable Dedekind criterion -- Computation of low-degree cases -- Determination of ideal class group -- The quqdratic symetric case.
9783540385554
10.1007/BFb0091572 doi
Algebraic topology.
Algebraic Topology.
QA612-612.8
514.2
Algebraic Structure of Knot Modules [electronic resource] / by Jerome P. Levine. - XIV, 110 p. online resource. - Lecture Notes in Mathematics, 772 0075-8434 ; . - Lecture Notes in Mathematics, 772 .
The derived exact sequences -- Finite modules -- Realization of finite modules -- ?i of finite modules -- Product structure on finite modules -- Classification of derived product structure -- Rational invariants -- Z-torsion-free modules -- ?-only torsion -- Statement of realization theorem -- Inductive construction of derived sequences -- Inductive recovery of derived sequences -- Homogeneous and elementary modules -- Realization of elementary modules -- Classification of elementary modules -- Completion of proof -- Classification of ?-primary modules -- Classification fails in degree 4 -- Product structure on ?-primary modules -- Classification of product structure -- Realization of product structure on homogeneous modules -- Product structure on semi-homogeneous modules -- A non-semi-homogeneous module -- Rational classification of product structure -- Non-singular lattices over a Dedekind domain -- Norm criterion for a non-singular lattice -- Dedekind criterion: p-adic reduction -- A computable Dedekind criterion -- Computation of low-degree cases -- Determination of ideal class group -- The quqdratic symetric case.
9783540385554
10.1007/BFb0091572 doi
Algebraic topology.
Algebraic Topology.
QA612-612.8
514.2