Strongly plus-amphicheiral knots are algebraically slice

Author:

Long D. D.

Abstract

A classical knot in S3 is said to be slice if it is the boundary of a smooth (or PL locally unknotted) disc in B4. The first obstructions to sliceness were introduced in [3] (the Alexander polynomial is of the form f(t). f(t−1)) and [7] (the signature is zero). Levine defined the notion of algebraically slice knot in [5]. This property implies the first two obstructions vanish.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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3. [4] Livingston C. . Knots which are not concordant to their reverse. (Preprint.)

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