Advances in Theoretical and Mathematical Physics
Volume 14 (2010)
Local B-model and Mixed Hodge Structure
Pages: 1089 – 1145
We study the mixed Hodge theoretic aspects of the B-model side of local mirror symmetry. Our main objectives are to define an analogue of the Yukawa coupling in terms of the variations of the mixed Hodge structures and to study its properties. We also describe a local version of Bershadsky-Cecotti-Ooguri-Vafa's holomorphic anomaly equation.