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- W2775487915 abstract "We define a deformation of the triply graded Khovanov-Rozansky homology of a link $L$ depending on a choice of parameters $y_c$ for each component of $L$, which satisfies link-splitting properties similar to the Batson-Seed invariant. Keeping the $y_c$ as formal variables yields a link homology valued in triply graded modules over $mathbb{Q}[x_c,y_c]_{cin pi_0(L)}$. We conjecture that this invariant restores the missing $Qleftrightarrow TQ^{-1}$ symmetry of the triply graded Khovanov-Rozansky homology, and in addition satisfies a number of predictions coming from a conjectural connection with Hilbert schemes of points in the plane. We compute this invariant for all positive powers of the full twist and match it to the family of ideals appearing in Haiman's description of the isospectral Hilbert scheme." @default.
- W2775487915 created "2017-12-22" @default.
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- W2775487915 date "2022-06-15" @default.
- W2775487915 modified "2023-10-17" @default.
- W2775487915 title "Hilbert schemes and y–ification of Khovanov–Rozansky homology" @default.
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- W2775487915 doi "https://doi.org/10.2140/gt.2022.26.587" @default.
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