Quantum Kostka and the rank one problem for \mathfraksl_2m

2015/08/27 by Natalie Hobson, Hobson, Natalie
Mathematics · #14D20 #14H10 #14M15 #14N10 #14N35 #Advanced Mathematical Identities #Advanced Topology and Set Theory #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1508.06952

openalex publication_date 2015/08/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give necessary and sufficient conditions to specify vector bundles of conformal blocks for \mathfraksl_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.

Citations

• Nonvanishing of conformal blocks divisors on M_0,n
• Conformal blocks divisors on M_0,n from sl₂

Cited by

• Scaling of conformal blocks and generalized theta functions over M_g,n

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• Conformal Blocks in type C at level one
• On S_n-invariant conformal blocks vector bundles of rank one on M_0,n
• Chern classes of conformal blocks
• On higher Chern classes of vector bundles of conformal blocks
• Rank-level duality of conformal blocks of GL_n and SL_n