Stable decategorification formula for spin link homology

From papers

Let βBrm\beta\in\mathrm{Br}_m and let equation denote the paper's stated trace/decategorification equality between type BB spin link homology and the spin-colored so2n+1\mathfrak{so}_{2n+1} link polynomial. Stable decategorification conjecture. Equation also holds for every n4n\geq4; hence type BB spin link homology categorifies the spin-colored so2n+1\mathfrak{so}_{2n+1} link polynomial for all n1n\geq1. The equality is proved for n=1,2,3n=1,2,3 and is conditional in higher rank on the additional conjectural relations and trace identity described in the paper.

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Primary source

Elijah Bodish, Ben Elias and David E. V. Rose, “Spin Link Homology”, arXiv:2407.00189 (2024).

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