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Erratum to: “Tropical mirror symmetry for elliptic curves”. (English) Zbl 1431.14049
From the text: We thank Elise Goujard and Martin Möller for pointing out and closing a gap in Theorem 3.2 of our work [ibid. 732, 211–246 (2017; Zbl 1390.14191)]. The statement of the theorem is not accurate. The Feynman integrals in question are indeed quasimodular forms, however, they are not necessarily homogeneous. A corrected statement is given.
MSC:
14T20 Geometric aspects of tropical varieties
14J33 Mirror symmetry (algebro-geometric aspects)
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[1] J. Böhm, K. Bringmann, A. Buchholz and H. Markwig, Tropical mirror symmetry for elliptic curves, J. reine angew. Math. 732 (2017), 211-246. · Zbl 1390.14191
[2] R. Dijkgraaf, Mirror symmetry and elliptic curves, The moduli space of curves, Progr. Math. 129, Birkhäuser, Boston (1995), 149-163., · Zbl 0913.14007
[3] E. Goujard and M. Möller, Counting Feynman-like graphs: Quasimodularity and Siegel-Veech weight, preprint (2016), https://arxiv.org/abs/1609.01658. · Zbl 1433.05155
[4] M. Kaneko and D. Zagier, A generalized Jacobi theta function and quasimodular forms, The moduli space of curves, Progr. Math. 129, Birkhäuser, Boston (1995), 149-163.
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