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arXiv · 2112.15149

The parabolic Verlinde formula: iterated residues and wall-crossings

Andras Szenes·Olga Trapeznikova
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Abstract

We give a new proof for the parabolic Verlinde formula in all ranks based on a comparison of wall-crossings in Geometric Invariant Theory and certain iterated residue functionals. On the way, we develop a tautological variant of Hecke correspondences, calculate the Hilbert polynomials of the moduli spaces, and present a new, transparent, local approach to the rho-shift problem of the theory.

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Andras Szenes, Olga Trapeznikova. 2021-12-30. The parabolic Verlinde formula: iterated residues and wall-crossings. https://doi.org/10.2140/gt.2024.28.2259

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