Residue formula conjecture for Verlinde intersection numbers

Let GG be a group, let gg denote the genus of CC, let >\gt be the Cartan subalgebra of GG, let \M\M denote the moduli space under consideration, and let PP be a Weyl-symmetric function on >\gt. Write \om\om for the first Chern class introduced above. Residue formula conjecture. For every group GG, there exists a residue form ΩG\Omega^G, depending on gg and defined in a neighborhood of 0>0\in\gt, such that

\Me\omP=Resat 0>ΩGP.\int_{\M} e^{\om}P=\operatorname{Res}_{\text{at }0\in\gt}\Omega^G P.

This formula would give a residue-theoretic description of the specified intersection numbers, extending the type of formulas sought in the paper. The supplied text does not state whether the assertion has been proved or disproved.

Sources & referencesView supporting material

Primary source

Andras Szenes, “The combinatorics of the Verlinde formulas”, arXiv:alg-geom/9402003 (1994).

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