English

Local B-model and Mixed Hodge Structure

Algebraic Geometry 2009-10-09 v3 High Energy Physics - Theory

Abstract

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.

Keywords

Cite

@article{arxiv.0907.4108,
  title  = {Local B-model and Mixed Hodge Structure},
  author = {Yukiko Konishi and Satoshi Minabe},
  journal= {arXiv preprint arXiv:0907.4108},
  year   = {2009}
}

Comments

39 pages, 2 figures; v2: typos corrected; v3: added references

R2 v1 2026-06-21T13:28:19.048Z