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Deformation quantisation for (-1)-shifted symplectic structures and vanishing cycles. (arXiv:1508.07936v4 [math.AG] UPDATED)
来源于:arXiv
We formulate a notion of $E_0$ quantisation of $(-1)$-Poisson structures on
derived Artin $N$-stacks, and construct a map from $E_0$ quantisations of
$(-1)$-shifted symplectic structures to power series in de Rham cohomology. For
a square root of the dualising line bundle, this gives an equivalence between
even power series and self-dual quantisations. In particular, there is a
canonical quantisation of any such square root, which localises to recover the
perverse sheaf of vanishing cycles on derived DM stacks, thus giving a form of
derived categorification of Donaldson--Thomas invariants. 查看全文>>