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On Shake Slice Knots

Selman Akbulut, Eylem Zeliha Yildiz

Abstract

Here we discuss $r-$shake slice knots, and their relation to corks, we then prove that $0$-shake slice knots are slice.

On Shake Slice Knots

Abstract

Here we discuss shake slice knots, and their relation to corks, we then prove that -shake slice knots are slice.

Paper Structure

This paper contains 2 sections, 3 theorems, 2 equations, 13 figures.

Table of Contents

  1. Introduction and the main theorem
  2. Relation to corks

Key Result

Proposition 1

The handlebody of Figure x describes $L_{n}^{0}$.

Figures (13)

  • Figure 1: $K_{n}^{0}$
  • Figure 2: Handlebody of $K_{n}^{0}$
  • Figure 3: Handlebody of $K_{n}^{0}$
  • Figure 4: $K^{0}_{n}$, (n=2)
  • Figure 5: $L_{n}^{0}$
  • ...and 8 more figures

Theorems & Definitions (6)

  • Proposition 1
  • Theorem 2
  • Remark 1
  • Theorem 3
  • Remark 2
  • Remark 3