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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.
Related
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 -