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arXiv · 1309.7811

BGG resolutions via configuration spaces

M. Falk·V. Schechtman·A. Varchenko
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Abstract

We study the blow-ups of configuration spaces. These spaces have a structure of what we call an Orlik-Solomon manifold; it allows us to compute the intersection cohomology of certain flat connections with logarithmic singularities using some Aomoto type complexes of logarithmic forms. Using this construction we realize geometrically the sl_2 Bernstein - Gelfand - Gelfand resolution as an Aomoto complex.

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M. Falk, V. Schechtman, A. Varchenko. 2013-09-30. BGG resolutions via configuration spaces. https://arxiv.org/abs/1309.7811

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