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A ∞-Algebra of an Elliptic Curve and Eisenstein Series

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Abstract

We compute explicitly the A ∞-structure on the algebra \({{\rm Ext}^*(\mathcal{O}_C \oplus L, \mathcal{O}_C \oplus L)}\) , where L is a line bundle of degree 1 on an elliptic curve C. The answer involves higher derivatives of Eisenstein series.

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Authors and Affiliations

  1. Department of Mathematics, University of Oregon, Eugene, OR, 97403, USA

    Alexander Polishchuk

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  1. Alexander Polishchuk
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Correspondence to Alexander Polishchuk.

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Communicated by N.A. Nekrasov

Supported in part by NSF grant.

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Polishchuk, A. A ∞-Algebra of an Elliptic Curve and Eisenstein Series. Commun. Math. Phys. 301, 709–722 (2011). https://doi.org/10.1007/s00220-010-1156-y

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  • DOI: https://doi.org/10.1007/s00220-010-1156-y

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