Scaling of conformal blocks and generalized theta functions over ${\bar{M}}_{g,n}$

Abstract

By way of intersection theory on ${\bar{M}}_{g,n}$, we show that geometric interpretations for conformal blocks, as sections of ample line bundles over projective varieties, do not have to hold at points on the boundary. We show such a translation would imply certain recursion relations for first Chern classes of these bundles. While recursions can fail, geometric interpretations are shown to hold under certain conditions.

to appear in Mathematische Zeitschrift

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• The Chern classes of the Verlinde bundles
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Cited by in corpus (1)

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