Universal quantization conjecture for smooth symplectic resolutions of Lusztig slices

Let Grμλ~\widetilde{\mathop{\mathrm{Gr}}{}^\lambda_\mu} be a smooth symplectic resolution equipped with a conic C\mathbb C^*-action, and let Yμλ(R)Y^\lambda_\mu(\mathbf R) be the associated family of truncated shifted Yangians. Universal quantization conjecture. The family Yμλ(R)Y^\lambda_\mu(\mathbf R) is the universal family of quantizations of Grμλ~\widetilde{\mathop{\mathrm{Gr}}{}^\lambda_\mu}. The source says this is a precise version of an earlier conjecture and supplies no evidence of a general proof or disproof.

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Primary source

Joel Kamnitzer, Peter Tingley, Ben Webster, Alex Weekes and Oded Yacobi, “Highest weights for truncated shifted Yangians and product monomial crystals”, arXiv:1511.09131 (2019).

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