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arXiv · 1711.07940

The Quantum $A_{\infty}$-Relations on the Elliptic Curve

Michael Slawinski
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Abstract

We define and prove the existence of the Quantum $A_{\infty}$-relations on the Fukaya category of the elliptic curve, using the notion of the Feynman transform of a modular operad, as defined by Getzler and Kapranov. Following Barannikov, these relations may be viewed as defining a solution to the quantum master equation of Batalin-Vilkovisky geometry.

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Michael Slawinski. 2017-11-21. The Quantum $A_{\infty}$-Relations on the Elliptic Curve. https://arxiv.org/abs/1711.07940

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