ISBN-10:
3540097392
ISBN-13:
9783540097396
Pub. Date:
03/18/1980
Publisher:
Springer Berlin Heidelberg
Algebraic Structure of Knot Modules / Edition 1

Algebraic Structure of Knot Modules / Edition 1

by J. P. Levine

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Product Details

ISBN-13: 9783540097396
Publisher: Springer Berlin Heidelberg
Publication date: 03/18/1980
Series: Lecture Notes in Mathematics , #772
Edition description: 1980
Pages: 110
Product dimensions: 6.10(w) x 9.25(h) x 0.01(d)

Table of Contents

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.

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