Lectures on BCOV holomorphic anomaly equations
  The present article surveys some mathematical aspects of the BCOV holomorphic anomaly equations introduced by Bershadsky, Cecotti, Ooguri and Vafa. It grew from a series of lectures the authors gave at the Fields Institute in the Thematic Program of Calabi-Yau Varieties in the fall of 2013. 
Atsushi Kanazawa, Jie Zhou
math.AG math.DG