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Bibliographic Details
Main Author: Slawinski, Michael
Format: Preprint
Published: 2017
Subjects:
Online Access:https://arxiv.org/abs/1711.07940
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Table of Contents:
  • 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.