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Deformation quantisation for $(-2)$-shifted symplectic structures. (arXiv:1809.11028v1 [math.AG])
来源于:arXiv
We formulate a notion of $E_{-1}$ quantisation of $(-2)$-shifted Poisson
structures on derived algebraic stacks, depending on a flat right connection on
the structure sheaf, as solutions of a quantum master equation. We then
parametrise $E_{-1}$ quantisations of $(-2)$-shifted symplectic structures by
constructing a map to power series in de Rham cohomology. For a large class of
examples, we show that these quantisations give rise to classes in Borel--Moore
homology which are closely related to Borisov--Joyce invariants. 查看全文>>