BCOV ring and holomorphic anomaly equation
Algebraic Geometry
2013-09-13 v3 High Energy Physics - Theory
Number Theory
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.
Cite
@article{arxiv.0810.4795,
title = {BCOV ring and holomorphic anomaly equation},
author = {Shinobu Hosono},
journal= {arXiv preprint arXiv:0810.4795},
year = {2013}
}
Comments
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