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arXiv · 1804.00017

Chiral Homology of elliptic curves and the Zhu algebra

Jethro van Ekeren·Reimundo Heluani
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Abstract

We study the chiral homology of elliptic curves with coefficients in a quasiconformal vertex algebra. Our main result expresses the nodal curve limit of the first chiral homology group in terms of the Hochschild homology of the Zhu algebra of V. A technical result of independent interest regarding the equivalence between the associated graded with respect to Li's filtration and the arc space of the C_2 algebra is presented.

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BibTeXRIS

Jethro van Ekeren, Reimundo Heluani. 2018-03-30. Chiral Homology of elliptic curves and the Zhu algebra. https://doi.org/10.1007/s00220-021-04026-w

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