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Licensed Unlicensed Requires Authentication Published by Princeton University Press 1988

X. THE ALEXANDER POLYNOMIAL AND THE ARF INVARIANT

From the book On Knots. (AM-115), Volume 115

  • Louis H. Kauffman
https://doi.org/10.1515/9781400882137-011
© 2016 Princeton University Press, Princeton
From the book
On Knots. (AM-115), Volume 115
On Knots. (AM-115), Volume 115

Chapters in this book (25)

Frontmatter
CONTENTS
PREFACE
I. INTRODUCTION
II. LINKING NUMBERS AND REIDEMEISTER MOVES
III. THE CONWAY POLYNOMIAL
IV. EXAMPLE S AND SKEIN THEORY
V. DETECTING SLICES AND RIBBONS— A FIRST PASS
VI. MISCELLANY
VII. SPANNING SURFACES AND THE SEIFERT PAIRING
VIII. RIBBONS AND SLICES
IX. THE ALEXANDER POLYNOMIAL AND BRANCHED COVERINGS
X. THE ALEXANDER POLYNOMIAL AND THE ARF INVARIANT
XI. FREE DIFFERENTIAL CALCULUS
XII. CYCLIC BRANCHED COVERINGS
XIII. SIGNATURE THEOREMS
XIV. G-SIGNATURE THEOREM FOR FOUR MANIFOLDS
XV. SIGNATURE OF CYCLIC BRANCHED COVERINGS
XVI. AN INVARIANT FOR COVERINGS
XVII. SLICE KNOTS
XVIII. CALCULATING σr FOR GENERALIZED STEVEDORE’S KNOT
XIX. SINGULARITIES, KNOTS AND BRIESKORN VARIETIES
APPENDIX. GENERALIZED POLYNOMIALS AND A STATE MODEL FOR THE JONES POLYNOMIAL
KNOT TABLES AND THE L-POLYNOMIAL
REFERENCES
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