Derived-equivalence conjecture for general Clifford double mirrors

Let S=[Y/G]\mathcal{S}=[Y/\overline G] be the quotient stack associated with a general Clifford mirror, and let B0\mathcal{B}_0 denote its even Clifford-algebra sheaf. Assume the centrality and appropriate flatness conditions required in the construction. Derived-equivalence conjecture for general Clifford double mirrors. The bounded derived categories of coherent sheaves on the noncommutative spaces (S,B0)(\mathcal{S},\mathcal{B}_0) arising from the different decompositions are all equivalent. This is the homological mirror-symmetry formulation of the double-mirror claim. The supplied text gives no resolution, and the precise centrality and flatness hypotheses are not specified in the excerpt.

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Primary source

Zhan Li, “On derived equivalence of general Clifford double mirrors”, arXiv:1605.04530 (2016).

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