Compatibility of t-structures for quantum symplectic resolutions

Kevin McGerty; Thomas Nevins

doi:10.1215/00127094-3619684

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arXiv · 1312.7180

Compatibility of t-structures for quantum symplectic resolutions

Kevin McGerty·Thomas Nevins

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Abstract

Let W be a smooth complex quasiprojective variety with the action of a connected reductive group G. Adapting the stratification approach of Teleman to a microlocal context, we prove a vanishing theorem for the functor of G-invariant sections---i.e., of quantum Hamiltonian reduction---for G-equivariant twisted D-modules on W. As a consequence, when W is affine we establish an effective combinatorial criterion for exactness of the global sections functors of microlocalization theory. When combined with our earlier derived equivalence results, this gives precise criteria for "microlocalization of representation categories."

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Kevin McGerty, Thomas Nevins. 2013-12-27. Compatibility of t-structures for quantum symplectic resolutions. https://doi.org/10.1215/00127094-3619684

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