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arXiv · 2609.13097

Knot Floer homology of boundary Dehn twists

Rithwik Susheel Vidyarthi
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Abstract

We prove that the knot Floer complex, along with some restrictions on the flip map, determines the dual knot to $\pm 1$ surgery on the Borromean knot. In particular, this implies that Heegaard Floer homology detects boundary Dehn twists.

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Rithwik Susheel Vidyarthi. 2026-09-11. Knot Floer homology of boundary Dehn twists. https://arxiv.org/abs/2609.13097

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