$0$-Shake Slice Implies Slice
Selman Akbulut, Eylem Zeliha Yildiz
TL;DR
This paper proves that knots which are 0-shake slice are necessarily slice knots, establishing a significant link between these two knot properties.
Contribution
The paper provides a proof that 0-shake slice knots are equivalent to slice knots, clarifying their relationship in knot theory.
Findings
0-shake slice knots are slice
Establishes equivalence between 0-shake slice and slice knots
Clarifies the structure of knot concordance
Abstract
Here, we prove that shake slice knots are slice.
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Taxonomy
TopicsGeometric and Algebraic Topology · semigroups and automata theory · Connective tissue disorders research