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arxiv: 0904.2918 · v4 · pith:HSSOBJF5new · submitted 2009-04-19 · 🧮 math.AG

Chern classes of conformal blocks

classification 🧮 math.AG
keywords chernblocksbundlesclassesconformalalgebrasassociatedclass
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We derive a formula for the Chern classes of the bundles of conformal blocks on \bar{M}_{0,n} associated to simple finite dimensional Lie algebras and explore its consequences in more detail for sl_2 and in general for level 1. We also give a method for computing the first Chern class of such bundles on \bar{M}_{g,n} for g>0.

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