The parabolic Verlinde formula: iterated residues and wall-crossings
Algebraic Geometry
2024-09-04 v2
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.
Keywords
Cite
@article{arxiv.2112.15149,
title = {The parabolic Verlinde formula: iterated residues and wall-crossings},
author = {Andras Szenes and Olga Trapeznikova},
journal= {arXiv preprint arXiv:2112.15149},
year = {2024}
}
Comments
45 pages, 7 figures