Twisting and stabilization in knot Floer homology

Soheil Azarpendar

Published: 2023/12/3

Abstract

Let $K_m$ be the result of applying $m$ full twists to $n$ parallel strands in a knot $K$. We prove that extremal knot Floer homologies of $K_m$ stabilize as $m$ goes to infinity.

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