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- W2898474184 abstract "In this paper, we investigate the structure of the convergent quantization of the 1-shifted cotangent bundle $S$ of a smooth scheme $X$ over a perfect field of positive characteristic. The quantization is an $E_2$-algebra over the Frobenius twist $S'$ of the 1-shifted cotangent bundle which restricted to the zero section $X'rightarrow S'$ is weakly $E_2$-Morita equivalent to the structure sheaf $mathscr O_{X'}$ of the Frobenius twist $X'$ of $X$. Explicitly, we show that the $(infty,2)$-category of coherent (left-)modules over $mathscr O_{X'}$ is equivalent to the full subcategory of the $(infty,2)$-category of coherent (left-)modules over the quantization restricted to the zero section generated by $mathscr O_X$ are equivalent." @default.
- W2898474184 created "2018-11-02" @default.
- W2898474184 creator A5076789543 @default.
- W2898474184 date "2018-10-25" @default.
- W2898474184 modified "2023-09-27" @default.
- W2898474184 title "Weak $E_2$-Morita equivalences via quantization of the 1-shifted cotangent bundle" @default.
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