A-infinity algebra of an elliptic curve and Eisenstein series

Abstract

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

arXiv comment13 pages, 3 figures; v3: added remark on the limit at the cusp

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