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The singular-support characterization of Lusztig sheaves

Contributed by Qiyue Tang

We prove that for every finite loop-free quiver and every dimension vector, a simple equivariant perverse sheaf with complex coefficients on the quiver representation space is a Lusztig sheaf if and only if its singular support lies in Lusztig’s nilpotent variety.

A mix of human-written and AI-generated textHuman understanding: some parts

Nov 10, 202622 pages

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The singular-support characterization of Lusztig sheaves

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