angelagibney.org - Angela GIBNEY – Department of Mathematics, University of Pennsylvania

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Angela GIBNEY

Department of Mathematics, University of Pennsylvania

ABSTRACT. Modules over a vertex operator algebra V give rise to sheaves of coinvariants on moduli of stable pointed curves. If V satisfies finiteness and semi-simplicity conditions, these sheaves are vector bundles. This relies on factorization, an isomorphism of spaces of coinvariants at a nodal curve with a finite sum of analogous spaces on the normalization of the curve. Here we introduce the notion of a factorization presentation, and using this, we show that finiteness conditions on V imply the sheaves

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