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Orthogonality of natural sheaves on moduli stacks of SL(2)-bundles with connections on \( \Bbb P^1 \) minus 4 points

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Abstract.

A special kind of SL(2)-bundles with connections on \(\Bbb P^1\setminus\{x_1,\dots,x_4\}\) is considered. We construct an equivalence between the derived category of quasicoherent sheaves on the moduli stack of such bundles and the derived category of modules over a TDO ring on some (non-separated) curve.

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  1. Department of Mathematics, Harvard University, 02138, Cambridge, MA, USA

    D. Arinkin

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  1. D. Arinkin
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Arinkin, D. Orthogonality of natural sheaves on moduli stacks of SL(2)-bundles with connections on \( \Bbb P^1 \) minus 4 points . Sel. math., New ser. 7, 213 (2001). https://doi.org/10.1007/PL00001401

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  • DOI: https://doi.org/10.1007/PL00001401

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