BCOV ring and holomorphic anomaly equation
arXiv:0810.4795
Abstract
We study certain differential rings over the moduli space of Calabi-Yau manifolds. In the case of an elliptic curve, we observe a close relation to the differential ring of quasi-modular forms due to Kaneko and Zagier.
24 pages. v2, typos corrected. To appear in Advanced Studies in Pure Mathematics, "New developments in Algebraic Geometry, Integrable Systems and Mirror symmetry"; v3: eqs.(3.5) and (3.12) corrected. Minor corrections made accordingly
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