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PreprintCC BY 4.0arXiv

Knot Floer homology of boundary Dehn twists

  • Rithwik Susheel Vidyarthi
Open at sourcePDFDOICite

Abstract

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

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Cite

BibTeXRIS
BibTeX
@misc{vidyarthi2026knot,
  title = {{Knot Floer homology of boundary Dehn twists}},
  author = {Rithwik Susheel Vidyarthi},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.13097},
  eprint = {2609.13097},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.13097},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Knot Floer homology of boundary Dehn twists
AU  - Rithwik Susheel Vidyarthi
PY  - 2026
DA  - 2026/09/11
PB  - arXiv
DO  - 10.48550/arxiv.2609.13097
UR  - https://arxiv.org/abs/2609.13097
AB  - We prove that the knot Floer complex, along with some restrictions on the flip map, determines the dual knot to ± 1 surgery on the Borromean knot. In particular, this implies that Heegaard Floer homology detects boundary Dehn twists.
ER  -