Coinvariants for Lattice VOAs and q-Supernomial Coefficients

$\overline{\mathrm{M}}_{0,n}$ 上余不变除子的正性与仲费米子

Positivity of coinvariant divisors on $\overline{\mathrm{M}}_{0,n}$ and the parafermions

本文提出利用融合环判定VOA线丛在模空间上的正性，并从仲费米子VOA构造正线丛，首次给出交换子VOA产生正线丛的例子。

Spaces of coinvariants and fusion product II. Affine sl_2 character formulas in terms of Kostka polynomials

In this paper, we continue our study of the Hilbert polynomials of coinvariants begun in our previous work math.QA/0205324 (paper I). We describe the sl_n-fusion products for symmetric tensor representations following the method of Feigin and Feigin, and show that their Hilbert polynomials are A_{n-1}-supernomials. We identify the fusion product of arbitrary irreducible sl_n-modules with the fusion product of their resctriction to sl_{n-1}. Then using the equivalence theorem from paper I and the results above for sl_3, we give a fermionic formula for the Hilbert polynomials of a class of affin…

On global generation of vector bundles on the moduli space of curves from representations of vertex operator algebras

We consider global generation of sheaves of coinvariants on the moduli space of curves given by simple modules over certain vertex operator algebras, extending results for affine VOAs at integrable levels on stable pointed rational curves. Examples where global generation fails, and further evidence of positivity are given.