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PreprintarXiv licencearXiv

Symmetries of colored Khovanov-Rozansky homology

Abstract

We construct an action of the positive half of the Witt algebra on colored glN-Khovanov-Rozansky homology and prove that this action is compatible with the functoriality of colored link homology. To establish this result, we use Bar-Natan's framework of canopolies to formulate and prove the relevant statements at the level of tangles.

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BibTeX
@misc{guerin2026symmetries,
  title = {{Symmetries of colored Khovanov-Rozansky homology}},
  author = {Alexis Guérin and Felix Roz},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.13210},
  eprint = {2610.13210},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.13210},
}
RIS
TY  - UNPB
TI  - Symmetries of colored Khovanov-Rozansky homology
AU  - Alexis Guérin
AU  - Felix Roz
PY  - 2026
DA  - 2026/10/09
PB  - arXiv
DO  - 10.48550/arxiv.2610.13210
UR  - https://arxiv.org/abs/2610.13210
AB  - We construct an action of the positive half of the Witt algebra on colored gl_N-Khovanov-Rozansky homology and prove that this action is compatible with the functoriality of colored link homology. To establish this result, we use Bar-Natan's framework of canopolies to formulate and prove the relevant statements at the level of tangles.
ER  -