Khovanov-Rozansky homology over 𝔽[U,V]

@misc{popovic2026khovanovrozansky,
  title = {{Khovanov-Rozansky homology over $\mathbbF[U,V]$}},
  author = {David Popović},
  howpublished = {arXiv},
  year = {2026},
  month = aug,
  doi = {10.48550/arxiv.2608.29986},
  eprint = {2608.29986},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.29986},
}

TY  - UNPB
TI  - Khovanov-Rozansky homology over 𝔽[U,V]
AU  - David Popović
PY  - 2026
DA  - 2026/08/30
PB  - arXiv
DO  - 10.48550/arxiv.2608.29986
UR  - https://arxiv.org/abs/2608.29986
AB  - We define a 'full' version of Khovanov-Rozansky homology: a chain complex CH(K) over F[U,V] whose chain homotopy type is a knot invariant and which has the property that setting U = V = 0 recovers the reduced Khovanov-Rozansky homology. We explore the algebraic structure of CH(K) and show that a variation of the structure theorem for knot Floer homology applies. This allows us to define counterparts to knot Floer concordance invariants τ, ε and ϕ_j in the Khovanov-Rozansky setting.
ER  -