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.
Gravitational Multi - Instantons,
2 Pith papers cite this work. Polarity classification is still indexing.
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α' corrections leave the metric of self-dual instantons unmodified but correct the dilaton and axion fields via Gauss-Bonnet and Pontrjagin terms, with no net correction to the Euclidean action to first order.
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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.
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$\alpha'$ corrections to self-dual gravitational instantons
α' corrections leave the metric of self-dual instantons unmodified but correct the dilaton and axion fields via Gauss-Bonnet and Pontrjagin terms, with no net correction to the Euclidean action to first order.