Discrete torsion, orbifold elliptic genera, and the chiral de Rham complex

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dc.creatorLibgober, Anatoly
dc.creatorSzczesny, Matthew
dc.date2004-12-21
dc.date.accessioned2026-07-07T05:15:32Z
dc.date.available2026-07-07T05:15:32Z
dc.descriptionGiven a compact complex algebraic variety with an effective action of a finite group $G$, and a class $α\in H^2(G,U(1))$, we introduce an orbifold elliptic genus with discrete torsion $α$, denoted $Ell^α_{orb}(X,G, q, y)$. We give an interpretation of this genus in terms of the chiral de Rham complex attached to the orbifold $[X/G]$. If $X$ is Calabi-Yau and $G$ preserves the volume form, $Ell^α_{orb}(X,G, q, y)$ is a weak Jacobi form. We also obtain a formula for the generating function of the elliptic genera of symmetric products with discrete torsion.
dc.identifierhttps://arxiv.org/abs/math/0412422
dc.identifierhttp://arxiv.org/abs/math/0412422
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73661
dc.subjectAlgebraic Geometry
dc.subjectQuantum Algebra
dc.titleDiscrete torsion, orbifold elliptic genera, and the chiral de Rham complex
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