The perverse Leray filtration on top cohomology of Hilb(Σ×ℂ) is computed explicitly in the ℂ*-upward-flow basis, yielding a triangular change-of-basis from complete homogeneous to power-sum symmetric functions.
arXiv preprint arXiv:2406.01379 , year=
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Perverse filtration on Hilbert schemes via upward flow
The perverse Leray filtration on top cohomology of Hilb(Σ×ℂ) is computed explicitly in the ℂ*-upward-flow basis, yielding a triangular change-of-basis from complete homogeneous to power-sum symmetric functions.