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arXiv · 1508.06952

Quantum Kostka and the rank one problem for $\mathfrak{sl}_{2m}$

Natalie Hobson
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Abstract

We give necessary and sufficient conditions to specify vector bundles of conformal blocks for $\mathfrak{sl}_{2m}$ with rectangular weights which have ranks zero, one, and larger than one. First Chern classes of rank one bundles are shown to determine a finitely generated subcone of the nef cone.

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Natalie Hobson. 2015-08-27. Quantum Kostka and the rank one problem for $\mathfrak{sl}_{2m}$. https://arxiv.org/abs/1508.06952

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