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Colored Khovanov homology theories at prime roots of unity
Abstract
We equip Khovanov's colored gl(2)-homology groups with a degree-2 derivation. Over a field of characteristic p>2, the derivation specializes to a p-nilpotent differential, which leads to a categorification of colored gl(2)-homology at a 2pth root of unity.
Related
BibTeX
@misc{qi2026colored,
title = {{Colored Khovanov homology theories at prime roots of unity}},
author = {You Qi and Louis-Hadrien Robert and Joshua Sussan and Emmanuel Wagner},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.01122},
eprint = {2610.01122},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.01122},
}
RIS
TY - UNPB
TI - Colored Khovanov homology theories at prime roots of unity
AU - You Qi
AU - Louis-Hadrien Robert
AU - Joshua Sussan
AU - Emmanuel Wagner
PY - 2026
DA - 2026/10/01
PB - arXiv
DO - 10.48550/arxiv.2610.01122
UR - https://arxiv.org/abs/2610.01122
AB - We equip Khovanov's colored gl(2)-homology groups with a degree-2 derivation. Over a field of characteristic p>2, the derivation specializes to a p-nilpotent differential, which leads to a categorification of colored gl(2)-homology at a 2pth root of unity.
ER -